To find the equation of a slope, you use the following equation:
[tex]y_{1}[/tex] - y = m([tex]x_{1}[/tex] - x)
All you do now is substitute in the value for the gradient, y and x, like so:
Note: gradient = [tex]\frac{9}{4}[/tex], y = -4, x = 3
[tex]y_{1}[/tex] - y = m([tex]x_{1}[/tex] - x)
y - - 4 = [tex]\frac{9}{4}[/tex] ( x - 3) ( note, 2 negatives make a positive)
y + 4 = [tex]\frac{9}{4}[/tex] ( x - 3)
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Answer
C ) y + 4 = [tex]\frac{9}{4}[/tex] ( x - 3)
