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5 votes
Find the slope and y-intercept of the line that is

perpendicular to y = -2/3x + 5 and passes
through the point (5, 7).

1 Answer

5 votes

Answer:

slope= 3/2

y-intercept= -1/2

Explanation:


y = - (2)/(3) x + 5

The product of the gradients of 2 perpendicular lines is -1.


( - (2)/(3) )(gradient \: of \: line) = - 1 \\ gradient \: of \: line \\ = - 1 / ( - (2)/(3) ) \\ = - 1 * ( - (3)/(2) ) \\ = (3)/(2)


y = (3)/(2) x + c

Substitute a coordinate into the equation.

When y=7, x=5,


7 = (3)/(2) (5) + c \\ 7 = (15)/(2) + c \\ c =7 - (15)/(2) \\ c = - (1)/(2)

User Milkmannetje
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