Question

Which equation represents the line that passes through the points and (4, 10) and (2, 7)?

y = 3/2x - 11

y = 3/2x +4

y = - 3/2x + 19

y = - 3/2x + 16

Answer 1

y=(3/2)x+4

Explanation:

step 1

Find the slope m

we have

the points (4, 10) and (2, 7)

The slope is equal to

m=(7-10)/(2-4)

m=3/2

step 2

Find the equation into slope point form

y-y1=m(x-x1)

we have

m=3/2

(x1,y1)=(2,7)

substitute

y-7=(3/2)(x-2)

y=(3/2)x-3+7

y=(3/2)x+4