Answer:
slope= 3/2
y-intercept= -1/2
Step-by-step explanation:
[tex]y = - \frac{2}{3} x + 5[/tex]
The product of the gradients of 2 perpendicular lines is -1.
[tex]( - \frac{2}{3} )(gradient \: of \: line) = - 1 \\ gradient \: of \: line \\ = - 1 \div ( - \frac{2}{3} ) \\ = - 1 \times ( - \frac{3}{2} ) \\ = \frac{3}{2} [/tex]
[tex]y = \frac{3}{2} x + c[/tex]
Substitute a coordinate into the equation.
When y=7, x=5,
[tex]7 = \frac{3}{2} (5) + c \\ 7 = \frac{15}{2} + c \\ c =7 - \frac{15}{2} \\ c = - \frac{1}{2} [/tex]
