Write the slope-intercept equation of the function f whose graph satisfies the given conditions. The graph of f passes through (-4,4) and is perpendicular to the line that has an x-intercept of 1 and a y-intercept of -2. The equation of the function is (Use integers or fractions for any numbers in the equation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 34E
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Write the slope-intercept equation of the function f whose graph satisfies the given conditions.
The graph of f passes through (-4,4) and is perpendicular to the line that has an x-intercept of 1 and a y-intercept of -2.
The equation of the function is
(Use integers or fractions for any numbers in the equation.)
...
Transcribed Image Text:Write the slope-intercept equation of the function f whose graph satisfies the given conditions. The graph of f passes through (-4,4) and is perpendicular to the line that has an x-intercept of 1 and a y-intercept of -2. The equation of the function is (Use integers or fractions for any numbers in the equation.) ...
Expert Solution
Step 1

As we know the equation of the line slope-intercept form:

y=mx+b

Where m is the slope and 0,b is the y-intercept of the line.

 

Two lines are perpendicular to each other if the product of slope of those two lines is equal to -1 or m1m2=-1

 

Use the equation of the line x-y intercept form:

xa+yb=1

Where:

x-intercept: a,0 y-intercept: 0,b

 

Given:

x-intercept: a,0=1,0y-intercept: 0,b=0,-2Px1,y1=-4,4

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