Answered

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Write an equation of the line in slope-intercept form that contains

(-3, 13) and (6,-5)

Sagot :

MrRoyal

Answer:

[tex]y = -2x +7[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-3,13)[/tex]

[tex](x_2,y_2) = (6,-5)[/tex]

Required

Determine the equation in slope intercept form

First, we calculate the slope:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The equation becomes:

[tex]m = \frac{-5 - 13}{6 - (-3)}[/tex]

[tex]m = \frac{-5 - 13}{6 +3}[/tex]

[tex]m = \frac{-18}{9}[/tex]

[tex]m = -2[/tex]

The equation is then calculated using:

[tex]y -y_1 = m(x - x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - 13 = -2(x -(-3))[/tex]

[tex]y - 13 = -2(x +3)[/tex]

[tex]y - 13 = -2x -6[/tex]

Make y the subject

[tex]y = -2x - 6 + 13[/tex]

[tex]y = -2x +7[/tex]

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