Write the equation of a line that goes through the points (-5,6) and (10,-6). The final answer should be in Slope Intercept Form

The equation of a line that goes through the points (-5,6) and (10,-6 in slope-intercept form is

A linear equation is an equation that have a constant rate of change or slope

From the question, we have the following ordered pairs

(x,y) = (-5,6) and (10,-6)

So, the slope (m) is then calculated as:

This gives

Evaluate the differences

Reduce the fraction

The equation is then calculated as:

So, we have:

Open the bracket

Evaluate the difference

Hence, the equation in slope-intercept form is

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Step-by-step explanation:

Find slope (m) using two points (-5, 6) and (10, -6).

m = -⅘

To find y-intercept (b), substitute x = -5, y = 6, and m = ⅘ into y = mx + b

6 = (-⅘)(-5) + b

6 = 4 + b

6 - 4 = b (subtraction property of equality)

b = 2

To write the equation, substitute m = -⅘, and b = 2 into y = mx + b

The equation of the line would be:

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