Use the [tex]\frac{rise}{run}[/tex] equation to find the gradient, however this time use the same equation to rearrange and solve for g.
Points are (-4,-5) and (-3,g)
Gradient = 9
[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} } = Gradient[/tex]
Substitute the x and y values from the points, and also substitute in the gradient (9).
[tex]\frac{g-(-5)}{-3-(-4)} = 9[/tex]
[tex]\frac{g+5}{-3+4} = 9[/tex]
[tex]\frac{g+5}{1} = 9[/tex]
[tex]g+5=9[/tex]
Solve for g.
g = 9 - 5
g = 4
