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