SOLUTION: Write the slope-intercept equation of the line that contains the points (-4,-2) and (11,-14). Include the formulas used to complete the work.

Question 1205639: Write the slope-intercept equation of the line that contains the points (-4,-2) and (11,-14). Include the formulas used to complete the work.
Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Write the slope-intercept equation of the line that contains the points (-4,-2) and (11,-14).
Include the formulas used to complete the work.
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Write the slope-intercept equation of the line that contains the points (p,v) and (h,k).
Include the formulas used to complete the work.
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Slope-Intercept Equation Form, y=mx+b.

-----starting in point-slope form;

THIS IS in slope-intercept form.
m corresponds to , and b corresponds to .

You can decide if this way below is easier or not:

Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!

Let's find the slope.

The slope is m = -4/5.
It will mean "go down 4, then right 5".

Now apply point-slope form.

The result is in slope-intercept form (y = mx+b)
m = -4/5 = -0.8 = slope
b = -26/5 = -5.2 = y intercept

To verify, plug in x = -4 and you should get y = -2.
Also, plug in x = 11 and you should get y = -14.
I'll leave this verification scratch work for the student to do.
Desmos and GeoGebra are recommended graphing tools to visually verify the answer.

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