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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

User Dolphin
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1 Answer

4 votes

Answer:

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

User Kaltezar
by
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