Question

What is the slope-intercept form of the function that contains the point (–1, 5) and has a slope of –4?

Answer 1

Slope intercept form equation:

y=mx+C

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We already know that m=-4. Now, let's find the value of C.

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m=-4, and when x=-1, y=5.

(5)=(-4)*(-1)+C

5=4+C

5-4=4+C-4

1=C

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Therefore the slope intercept form of the function is:

y=-4x+1

Answer 2

y = mx + b

where m is the slope and b is the y-intercept

plug in m = -4, and plug in the point (-1,5) and solve for b

y = -4x + b

5 = -4(-1) + b

5 = 4 + b

b = 1

So the slope-intercept form of the function that contains the point (-1,5) and has a slope of -4 is y = -4x + 1.