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contestada

Write the equation of the line that contains slope of 4 in coordinates (1,3) and (-2,9)

Respuesta :

Answer:

The slope between the points is -2 and not 4. The equation is y = -2x+5

Step-by-step explanation:

The coordinate on the line are (1,3) and (-2,9). The slope between these points is -2 and not 4.

[tex]m = \frac{y_2-y_1}{x_2-x_1} =\frac{9-3}{-2-1}=\frac{6}{-3}=-2[/tex]

So the equation of the line will be the slope -2 and a point (1,3) substitute into the point slope form of the line.

y - 3 = -2(x - 1)

y - 3 = -2x + 2

y = -2x + 5