Question

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What is the equation of this graphed line?

A graph with a line running through coordinates (-4, -6) and coordinates (2, 6)

Enter your answer in slope-intercept form in the box.

Answer 1

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Answer 2

The required equation of line is y = 2x + 2

Step-by-step explanation:

A line running through coordinate (-4,-6) and coordinate (2,6).

Two points on line given. using two point formula to find the equation of line.

Two point form of line:-

$\dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}$

Substitute the point and get the equation.

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

• Equation of line:

$\dfrac{y-6}{-6-6}=\dfrac{x-2}{-4-2}$

$\dfrac{y-6}{-12}=\dfrac{x-2}{-6}$

$y-6=2(x-2)$

$y-6=2x-4$

$y=2x+2$

Slope intercept form of equation: y = mx + b

Hence, the required equation is y = 2x + 2

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equation of line

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