AnswersAlgebra IPoint-Slope Form of a Line

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Which equation shows the point-slope form of the line that passes through 3 comma 2 and has a slope of 1 third ?

A
y plus 2 is equal to 1 third times open paren x plus 3 close paren
B
y minus 2 is equal to 1 third times open paren x minus 3 close paren
C
y plus 3 is equal to 1 third times open paren x plus 2 close paren
D
y minus 3 is equal to 1 third times open paren x minus 2 close paren
2
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Which graph matches the equation y plus 3 is equal to 2 times x plus 3 ?

A
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 10 in increments of 2. A straight line goes through the point labeled negative 3 comma negative 3 and the point labeled 0 comma 3.
B
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 10 in increments of 2. A straight line goes through the point labeled negative 3 comma 0 and the point labeled 0 comma 6.
C
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 10 in increments of 2. A straight line goes through the point labeled negative 3 comma negative 9 and the point labeled 0 comma negative 3.
D
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 10 in increments of 2. A straight line goes through the point labeled 0 comma negative 3 and the point labeled 3 comma 3.
4

Which graph matches the equation y plus 6 is equal to 3 fourths times open paren x plus 4 close paren ?

A
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 10 in increments of 2. A straight line goes through the point labeled negative 4 comma negative 6, the point labeled 0 comma negative 9, and the point labeled 4 comma negative 12.
B
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 10 in increments of 2. A straight line goes through the point labeled negative 6 comma negative 4, the point labeled 0 comma 0.5, and the point labeled 6 comma 5.
C
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 10 in increments of 2. A straight line goes through the point labeled negative 4 comma negative 6, the point labeled 0 comma negative 3, and the point labeled 4 comma 0.
D
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 10 in increments of 2. A straight line goes through the point labeled negative 6 comma negative 4, the point labeled 0 comma negative 8.5, and the point labeled 2 comma negative 10.
5

Which equation represents a line that passes through negative 9 comma negative 3 and has a slope of negative 6 ?

A
y plus 3 is equal to negative 6 times open paren x plus 9 close paren
B
y minus 9 is equal to negative 6 times open paren x minus 3 close paren
C
y minus 3 is equal to negative 6 times open paren x minus 9 close paren
D
y plus 9 is equal to negative 6 times open paren x plus 3 close paren
7

Which equation represents a line that passes through 4 comma 1 third and has a slope of 3 fourths ?

A
y minus 1 third is equal to 3 fourths times open paren x minus 4 close paren
B
y minus 3 fourths is equal to 1 third times open paren x minus 4 close paren
C
y minus 1 third is equal to 4 times open paren x minus 3 fourths close paren
D
y minus 4 is equal to 3 fourths times open paren x minus 1 third close paren
8

Which equation represents a line that passes through negative 2 comma 4 and has a slope of 2 fifths ?

A
y plus 2 is equal to 2 fifths times open paren x minus 4 close paren
B
y plus 4 is equal to 2 fifths times open paren x minus 2 close paren
C
y minus 4 is equal to 2 fifths times open paren x plus 2 close paren
D
y minus 2 is equal to 2 fifths times open paren x plus 4 close paren
9

Which equation represents a line that passes through 5 comma 1 and has a slope of 1 half ?

A
y minus 1 is equal to 5 times open paren x minus 1 half close paren
B
y minus 1 is equal to 1 half times open paren x minus 5 close paren
C
y minus 5 is equal to 1 half times open paren x minus 1 close paren
D
y minus 1 half is equal to 5 times open paren x minus 1 close paren
10

Chin was shown the graph of a line that contained point 1 comma 7 He wrote f of x is equal to 4 x plus 3 to correctly represent the line. Which of these equations could represent the same line?

A
y minus 7 is equal to 3 times open paren x minus 1 close paren
B
y minus 1 is equal to 3 times open paren x minus 7 close paren
C
y minus 1 is equal to 4 times open paren x minus 7 close paren
D
y minus 7 is equal to 4 times open paren x minus 1 close paren

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