What is equation for the line that is perpendicular to y-3=-4(x+2) and passes through the point (-5,7)
1 answer:
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Answer:
y = -3x -1
Step-by-step explanation:
Hi there!
We are given a line on a coordinate grid, with 2 marked points, (-1, 2) and (1, -4)
We can use these points to help find the equation of the line, which we can write in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, we need to find the slope of the line
The formula for the slope calculated from 2 points is , where
and
are points
We have everything we need to find the slope, but let's label the values of the points to help avoid confusion.
Now substitute these values into the formula to find the slope
m=
m=
Simplify
m=
m=
Divide
m= -3
The slope of the line is -3
We can substitute this into the formula.
Here's our line so far:
y = -3x + b
Now we need to find b
As the equation passes through the points (-1, 2) and (1, -4), we can use either one to find the value of b
Taking (-1, 2) for example:
Substitute -1 as x and 2 as y.
2 = -3(-1) + b
multiply
2 = 3 + b
Subtract 3 from both sides
-1 = b
Substitute -1 as b.
y = -3x - 1
Hope this helps!
See more on this topic here: brainly.com/question/27402935