Respuesta :

WolfXciTe

Answer:

The equation is [tex]y=2x+2[/tex]

Step-by-step explanation:

The initial value or "b" is 2 and the slope is [tex]\frac{2}{1}[/tex] or just 2

Yayo5
We can use the slope formula to calculate the slope and then use point-slope form to compute the equation.

We are given two points in the line, and any two are sufficient to find the slope.

y = (y2 - y1)/(x2 - x1)

Given (-4, -6) and (2, 6):

(6 - (-6))/(2 - (-4)) = 12/6 = 2.

We can now plug in any point into point-slope form to calculate the line’s equation.

Slope: 2.
Point: (2, 6).

y - y1 = m(x - x1)

y - 6 = 2(x - 2)

Normally this would be sufficient as this IS a line. However, the question asks for y-intercept form. So let’s solve for y.

y - 6 = 2(x - 2)

y - 6 = 2x - 4

y = 2x + 2.

Hope this helps!

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