Write the​ point-slope form of the equation of the line satisfying each of the following conditions. Then use the​ point-slope form to write the​ slope-intercept form of the equation in function notation. Slope=−4​, passing through ​(−5​,−8​)

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y = -4x - 28

Step-by-step explanation:

You want to put the equation in the form y = mx + b where m is the slope and b is the y-intercept (For example - the equation y = 2x - 3 would have a slope of 2 and a y-intercept of -3)

Since you have that the slope is -4, the equation so far is y = -4x + b

To find what b is, you know that (-5, -8) is a solution so you can plug x = -5 and y = -8 into your equation:

-8 = -4 * -5 + b

-8 = 20 + b

subtract 20 from both sides

-28 = b

So the equation is y = -4x - 28

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