Question

A line passes through the points (4,8) and (2,0). What is its equation in slope-intercept form?

Answer 1

Answer:

The answer is y = 4x - 8.

Step-by-step explanation:

☆Remember: $m = \frac{y_2 - y_1}{x_2 - x_1}$

☆Slope-intercept: $y = mx + b$

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☆We need to find the slope first. So just plug in according to the slope formula!

$m = \frac{0 - 8}{2 - 4} = \frac{ - 8}{ - 2} = 4$

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☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

$y = mx + b \\ 8 = 4(4) + b \\ 8 = 16 + b \\ \frac{ - 16 = - 16 \: \: \: \: \: \: \: \: \: \: \: \: }{ - 8 = b \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

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☆Now all we need to do is plug in and we are done!

$y = 4x - 8$

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