Question

Find an equation in slope-intercept form for the line containing the following points.

(1,−3) and (3,−5)

Answer 1

• (1,-3)
• (3,-5)

Slope

• m=(-5+3)/3-1
• m=-2/2
• m=-1

Equation in point slope form

• y+3=-1(x-1)
• y+3=-x+1
• y=-x+1-3
• y=-x-2

Answer 2

y=-x-2

Explanation:

slope-intercept form is y = mx+b

slope is change in y over change in x, which is -5-(-3)/(3-1) = -1

y = -x+b

plugging in a point, like (1,-3), we have -3 = -1+b. b = -3+1 = -2

y = -x-2