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tresset_1 [31]
3 years ago
14

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

Mathematics
1 answer:
iragen [17]3 years ago
8 0

Answer:

slope= 3/2

y-intercept= -1/2

Step-by-step explanation:

y =  -  \frac{2}{3} x + 5

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

( -  \frac{2}{3} )(gradient \: of \: line) =  - 1 \\ gradient \: of \: line \\  =  - 1 \div ( -  \frac{2}{3} ) \\  =  - 1 \times ( -  \frac{3}{2} ) \\  =  \frac{3}{2}

y =  \frac{3}{2} x + c

Substitute a coordinate into the equation.

When y=7, x=5,

7 =  \frac{3}{2} (5) + c \\ 7 =  \frac{15}{2}  + c \\ c =7 -   \frac{15}{2}  \\ c =  -  \frac{1}{2}

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