On a coordinate plane, Aiden draws a line that passes through (0,6) and (1,7), and another line that passes through (-4,-6) and (2,0). Find the equation for each line.

Respuesta :

Answer:

y = x - 6

y = x - 2

Step-by-step explanation:

In order to find the equation for each line, we have to first find the slope.

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

m = [tex]\frac{7-6}{1-0}[/tex]

m = [tex]\frac{1}{1}[/tex] = 1

Now, we have to find the y-intersect, b. In order to do that, plug y and x into the equation and solve for b.

y = m(x - b)

6 = 1(0 - b)

6 = -b

b = -6

After finding b, plug everything into the equation.

y = m(x - b)

y = x - 6

m = [tex]\frac{0-(-6)}{2-(-4)}[/tex]

m = [tex]\frac{6}{6}[/tex] = 1

Now, we have to find the y-intersect, b. In order to do that, plug y and x into the equation and solve for b.

y = m(x - b)

0 = 1(2 - b)

0 = 2 - b

-2 = -b

b = 2

After finding b, plug everything into the equation.

y = m(x - b)

y = x - 2

hope it helps :)

mark brainliest!!! (put in a lot of effort and time!)