The slope of line gh is [tex]\frac{-9}{7}[/tex] .
- Line Slope is a measure of the slope and direction of a line . The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line. The net change in the y coordinate is Δy and the net change in the x coordinate is Δx.
- The slope of a line can be calculated from two points on the line. Given the coordinates of two points, we can use the equation for the slope of the line which is given by [tex]m=\frac{y_2-y_!}{x_2-x_1}[/tex] .......(1) where [tex](x_1,y_1)[/tex] is the coordinate of first point and [tex](x_2,y_2)[/tex] is the coordinate of second point
We have given two points G(-2,6) and H(5,-3) .
Putting [tex]x_1=-2,y_1=6[/tex] and [tex]x_2=-5 ,y_2=-3[/tex] in equation (1) , we get
[tex]m=\frac{-3-6}{5-(-2)} \\\\m=\frac{-9}{5+2}\\\\m=\frac{-9}{7} \\[/tex]
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