Question

What is the equation in slope-intercept form for the line that passes through the points (–1, 3) and (–2, –3)?

Answer 1

Answer:

The answer is y = 6x + 9.

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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!

$m = \frac{ - 3 - 3}{ - 2 - ( - 1)} = \frac{ - 6}{ - 1} = 6$

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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.

$y = mx + b \\ 3 = 6( -1 ) + b \\ 3 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: \: }{9 = b \: \: \: \: \: \: \: \: \: \: \: }$

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

$y = 6x + 9$

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