Question

What is the equation of the line that passes through (7, 4) and (4, -2)?

a) y = 2x - 10
b) y = -2x - 10
c) y = -2x + 18
d) y = 2x + 18

Answer 1

we have been asked to find the equation of the line that passes through (7, 4) and (4, -2).

First we will find the slope of the line using the formula

`m=(y_2-y_1)/(x_2-x_1)`

Plugin the given values we get

`m=(-2-4)/(4-7)=(-6)/(-3)=2`

Now using the point slope form of a straight line

`(y-y_1)=m(x-x_1)`

Plugin the values

`image`

Hence the correct option is a.