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## Write the equation of the line in slope intercept form that passes through the point (4,5) and is perpendicular to the graph of y=2x-3

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Write the equation of the line in slope intercept form that passes through the point (4,5) and is perpendicular to the graph of y=2x-3

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Mathematics
6 months
2021-08-18T07:25:58+00:00
2021-08-18T07:25:58+00:00 1 Answers
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## Answers ( )

Answer:y = -½x + 7

Step-by-step explanation:Perpendicular lines have the

productof their gradients equal to -1For this to be true, since the first gradient is 2, the second gradient must be -½

So the first part is

y = -½x + c

We substitute our point to get c

5 = -½(4) + c

7 = c

Our line is

y = -½x + 7

FYI slope-intercept form is y = mx + c