Question

Find the equation of the line that passes through point a and b

Answer 1

An equation of the line that passes through point a and b, is y = 2x + 5.

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Explanation:

☆To find the slope, you can follow the slope formula:
`m = (y_2 - y_1)/(x_2 - x_1)`

☆Plug in!

`m = ( - 1 - 7)/( - 3 - 1) = ( - 8)/( - 4) = 2`

☆This is the slope-intercept equation:

`y = mx + b`

☆You have to plug in and solve for b, aka the y-intercept. Plug in the slope and the one set of coordinates.

`y = mx + b \\ \\ 7 = 2(1) + b \\ 7 = 2 + b \\ ( - 2 = - 2 \: \: \: \: \: \: \: \: \: \: \: )/(5 = b \: \: \: \: \: \: \: \: \: \: )`

☆Now that we have the slope and y-intercept. We just need to put them together.

☆y = 2x + 5