Question

The points (0,4) and (1, 9) fall on a particular line. What is its equation in slope-intercept

form?

Answer 1

The equation is y = 5x + 4.

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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 = (9 - 4)/(1 - 0) = (5)/(1) = 5`

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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 \\ 9 = 5(1) + b \\ 9 = 5 + b \\ ( - 5 = - 5 \: \: \: \: \: \: \: \: \: \: \: \: )/(4 = b \: \: \: \: \: \: \: \: \: )`

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

`y = 5x + 4`

▪Happy To Help <3