Question

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

form?

Answer 1

The answer is y = 4x - 8.

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 = (0 - 8)/(2 - 4) = ( - 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 \\ ( - 16 = - 16 \: \: \: \: \: \: \: \: \: \: \: \: )/( - 8 = b \: \: \: \: \: \: \: \: \: \: \: \: \: \: )`

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

`y = 4x - 8`

▪Happy To Help <3