Question

Find an equation for the line with the given properties. Express the equation in​ slope-intercept form. Containing the points Upper (-4, -2) and (0, -9)a. 7x - 4y = 36

b. -7x - 4y = 36
c. 2x - 9y = -81
d. -2x + 9y = -81

Answer 1

7x-4y=36

Explanation:

From the equation of a line

`y=mx+c\\m=slope\\m=\frac{y-y{1}}{x-x_(1)}\\`

where m is the slope and c is the intercept.

first we determine the slope from the given points (-4,-2) and (0,-9)

`m=(-2+9)/(4-0)\\ m=7/4\\`

hence we can write our equation as

`y=(7)/(4)x+c`

next we determine the value of the intercept

using the equation

`y-y_(1)=m(x-x_(1))\\at point (0,-9)\\y-(-9)=m(x-0)\\y+9=(7)/(4)x\\4y+36=7x\\7x-4y=36`

hence option A is correct