Question

Identify the equation in slope-intercept form for the line containing the point (-4,1) and (2,3)

Answer 1

Answer:

The point slope formula is

(y−y1)=m(x−x1)

Where m = the slope calculated as y2−y1x2−x1

(x1,y1)(x2,y2)

(-4 , 1) (-2 , 3)

Solve for the slope

m = 3−1−2−(−3) = 21 = m = 2

(y−3)=2(x−(−2)) Plug in known values.

y−3=2(x+2) Simplify signs

y−3=2x+4 Use Distributive property

y=−2x+4+3 isolate the y variable

answer (y = −5x+7 ) Simplify