Consider line ab, which contains points a(−2,7) and b(1,5).

a: what is the slope of ab?
b: what is the equation for ab in point-slope form?

select one answer choice for question a, and select all correct answer choices for question b.

a: −23
a: 32
b: y−5=23(x−1)
b: y+7=32(x−2)
b: y+7=−23(x−2)
a: −32
b: y+5=−32(x+1)
b: y+5=23(x+1)
b: y−7=−23(x+2)
b: y−5=−23(x−1)
a: 23
b: y−7=−32(x+2)

-2/3 and y-5 = -2/3(x-1)

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (-2,7) and (1,5). After, substitute the slope and a point into the point slope form.

Substitute m = -2/3 and the point (1,5) into the point slope form.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)