Question

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

Answer 1

Answer:

The equation is y = 5x + 4.

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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!

$m = \frac{9 - 4}{1 - 0} = \frac{5}{1} = 5$

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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.

$y = mx + b \\ 9 = 5(1) + b \\ 9 = 5 + b \\ \frac{ - 5 = - 5 \: \: \: \: \: \: \: \: \: \: \: \: }{4 = b \: \: \: \: \: \: \: \: \: }$

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

$y = 5x + 4$

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