Please help!! Find an equation in point-slope form that passes through the points (-1, 3) and (1. 7). SHOW ALL YOUR WORK!

Question

Please help!!
Find an equation in point-slope form that passes through the points (-1, 3) and (1. 7).
SHOW ALL YOUR WORK!

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Bella 2 weeks 2021-10-03T14:38:54+00:00 1 Answer 0

Answers ( )

    0
    2021-10-03T14:40:42+00:00

    Step-by-step 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:

     \frac{y-y_1 }{y_1 - y_2}  =  \frac{x-x_1 }{x_1 - x_2} \\  \\  \therefore \:  \frac{y - 3}{3 - 7}  =  \frac{x - ( - 1)}{ - 1 - 1}  \\  \\ \therefore \:  \frac{y - 3}{ - 4}  =  \frac{x  + 1}{ - 2}  \\  \\ \therefore \:  \frac{y - 3}{ 2}  =  \frac{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.

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45:7+7-4:2-5:5*4+35:2 =? ( )