The first step of writing an equation when given two points is the same for both strategies, slope-intercept or point-slope forms. What would be the first step in finding the equation of the line that passes through (5, 1) and (3, 5)?
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y = –3x + 5y = 3x – 5 [image 1] [image 2]





y = x + 67 = –1(–1) + by – 4 = –1 (x – 2)y – 7 = –1 (x – (–1))y – 2 = x – 4y = –x + 6
In which step did Helena make an error?
y = -15/11✔ 13x
Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points (2, -1) and (10, 7).
+ -23✔ -3717
What can you conclude about the line represented in the table? Select all that apply.
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The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.
Which of the following did you include in your response? Select all that apply.
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