Question

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

Answer 1

The answer is y = 6x + 9.

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Explanation:

☆Remember:
`m =  (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 =  ( - 3 - 3)/( - 2 - ( - 1)) = ( - 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 \\ ( + 6 = + 6 \: \: \: \: \: \: \: \: \: \: )/(9 = b \: \: \: \: \: \: \: \: \: \: \: )`

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

`y = 6x + 9`

▪Happy To Help <3