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

Solution:

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

$m=\frac{y_2-y_1}{x_2-x_1}$

Plugin the given values we get

$m=\frac{-2-4}{4-7}=\frac{-6}{-3}=2$

Now using the point slope form of a straight line

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

Plugin the values

$(y-4)=2(x-7)\\ \\ y=2x-14+4\\ \\ y=2x-10$

Hence the correct option is a.