Question 965404: Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.
The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2 and a y–intercept of -4.
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! perpendicular to the line that has an x-intercept of 2 and a y–intercept of -4.
Negative reciprocal of (1/2) is that described slope.
Meaning,  .
Continuing with point slope form,
Do what you need to do.....
Answer by MathLover1(20850)  (Show Source):
You can put this solution on YOUR website!
slope-intercept form:  where  is a slope and  is y-intercept
given:
the graph of f passes through ( , )
and
is perpendicular to the line that has an x-intercept of  and a y–intercept of 
if (,) on a line, then we have
 ........eq.1
if line is perpendicular to the line that has an x-intercept of and a y–intercept of , then our line has a slope negative reciprocal to the slope of the line that has an x-intercept of and a y–intercept of
first find the equation of the line that has an x-intercept of and a y–intercept of
if the line that has an x-intercept of , then the point (, ) is on a line
so, we have
 ........... eq.2
if the line that has an y-intercept of , then the point (,) is on a line
so, we have
 .......substitute in eq.2 and find 
 ........... eq.2
so, the equation of the line is perpendicular to the line that has an x-intercept of and a y–intercept of is
since the slope is , our line will have the slope  which is is the negative reciprocal of the
so far we have  and we need to find
use ........eq.1, substitute
so, the equation of a line we are looking for is: 
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