Question

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

Answer 1

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

Explanation:

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

`m = (y_2-y_1)/(x_2-x_1) =(9-3)/(-2-1)=(6)/(-3)=-2`

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