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contestada

What is the equation of the following line written in slope-intercept form?

A) y = 2/3 x - 13/3

B) y = 3/2x - 13/3

C) y = -2/3x - 13/3

What is the equation of the following line written in slopeintercept form A y 23 x 133 B y 32x 133C y 23x 133 class=

Respuesta :

alinakincsem

Answer:

The correct answer option is C) y = -2/3x - 13/3.

Step-by-step explanation:

We are given a straight line graph with one known point and we are to find its equation.

We will take one more point on the line to find the slope.

(-5, -1) and (-2, -3)

Slope (m) = [tex]\frac{-3-(-1)}{-2-(-5)} =-\frac{2}{3}[/tex]

Now finding the y-intercept:

[tex]y=mx+c[/tex]

[tex]-1=-\frac{2}{3} (-5)+c[/tex]

[tex]c=-\frac{13}{3}[/tex]

Therefore, the equation of this line is y = -2/3x - 13/3.