Answer:
An equation of the line that passes through point a and b, is y = 2x + 5.
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Step-by-step explanation:
☆To find the slope, you can follow the slope formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
☆Plug in!
[tex]m = \frac{ - 1 - 7}{ - 3 - 1} = \frac{ - 8}{ - 4} = 2[/tex]
☆This is the slope-intercept equation:
[tex]y = mx + b[/tex]
☆You have to plug in and solve for b, aka the y-intercept. Plug in the slope and the one set of coordinates.
[tex]y = mx + b \\ \\ 7 = 2(1) + b \\ 7 = 2 + b \\ \frac{ - 2 = - 2 \: \: \: \: \: \: \: \: \: \: \: }{5 = b \: \: \: \: \: \: \: \: \: \: } [/tex]
☆Now that we have the slope and y-intercept. We just need to put them together.
☆y = 2x + 5
