Point-Slope Form of a Line Answers

Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?

Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?

Which equation represents a line that passes through (4, ) and has a slope of ?

The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use?

What is the slope of the line whose equation is y−4=(x−2)?

Which equation represents a line that passes through (5, 1) and has a slope of ?

Anya graphed the line (y−2)=3(x−1) on the coordinate grid.

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:Step 1: Choose a point on the line, such as (2, 5).Step 2: Choose another point on the line, such as (1, 3).Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .Step 4: Substitute those values into the point-slope form.y – y1 = m(x – x1)y – 3 = (x – 1)Which of Talia’s steps is incorrect?

Which graph matches the equation y+3=2(x+3)?

Which equations and/or functions represent the graphed line? Select three options.y – 3 = (x – 2)