SOLUTION: in slope intercept form write an equation for a line that is perpendicular to the line and passes through the point y=3x-7;(0,4)

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Question 497259: in slope intercept form write an equation for a line that is perpendicular to the line and passes through the point y=3x-7;(0,4)
Answer by solver91311(24713) (Show Source):
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Step 1: Determine the slope of the line described by the given equation. Since the given equation is in slope intercept form, the slope of the line described by that equation is the coefficient on .

Step 2: Determine the slope of the desired line. The slopes of perpendicular lines are negative reciprocals. That is:

Hence, calculate the negative reciprocal of the slope value determined in step 1.

Step 3: Use the point-slope form of an equation of a line:

where are the coordinates of the given point and is the calculated slope from step 2.

Step 4: Rearrange your result in to slope-intercept from, namely:

John

My calculator said it, I believe it, that settles it