Question

Please help!!

Find an equation in point-slope form that passes through the points (-1, 3) and (1. 7).
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Answer 1

Explanation:

Given points are:

`(-1,\:3)=(x_1,\: y_1) \:\&\:(1, \:7)=(x_2,\:y_2)`

Equation of line in two point form is given as:

`(y-y_1 )/(y_1 - y_2) = (x-x_1 )/(x_1 - x_2) \\ \\ \therefore \: (y - 3)/(3 - 7) = (x - ( - 1))/( - 1 - 1) \\ \\ \therefore \: (y - 3)/( - 4) = (x + 1)/( - 2) \\ \\ \therefore \: (y - 3)/( 2) = (x + 1)/( 1) \\ \\ \huge \purple{ \boxed{\therefore \:y - 3 = 2(x + 1)}} \\ this \: is \: the \: equation \: of \: line \: in \: \\ point - slope \: form.\\simplifying \: it \: further \: we \: find: \\ y - 3 = 2x + 2 \\ \\ \therefore \:y = 2x + 2 + 3 \\ \\ \huge \red{ \boxed{\therefore \:y = 2x + 5}} \\ this \: is \: the \: equation \: of \: line \: in \: \\ slope - intercept \: form.`