Answer:
The equation is y = 5x + 4.
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Step-by-step explanation:
☆Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
☆Slope-intercept: [tex]y = mx + b[/tex]
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☆We need to find the slope first. So just plug in according to the slope formula!
[tex]m = \frac{9 - 4}{1 - 0} = \frac{5}{1} = 5[/tex]
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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.
[tex]y = mx + b \\ 9 = 5(1) + b \\ 9 = 5 + b \\ \frac{ - 5 = - 5 \: \: \: \: \: \: \: \: \: \: \: \: }{4 = b \: \: \: \: \: \: \: \: \: } [/tex]
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☆Now all we need to do is plug in and we are done!
[tex]y = 5x + 4[/tex]
▪Happy To Help <3
