Answer:

Step-by-step explanation:
<u>Slope-intercept form of a linear equation:</u>

where:
- m is the slope.
- b is the y-intercept.
<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:



Therefore, the slope of the given equation is -⁵/₇.
If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1. Therefore, their slopes will be negative reciprocals of each other.
Therefore, the slope of the line perpendicular to the given equation is:

<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:



<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:

Learn more about slope-intercept form here:
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-x^2 - 2x - 5=0
-(x^2 + 2x + 1) -4=0
(x +1)^2= -4
=> Impossible. There is no x
Answer:
y= -3
Step-by-step explanation:
(-7/2)y =21/2
Divide both sides by (-7/2) = Multiply by (-2/7)
On the left side ,after cancellation you have only y
On the right side you multiply 21/2 by (-2/7)
y= (21*-2) / 2*7
y=(-42)/14
y=(-21)/7
y=- 3
check:
-(7/2) of- 3 is 10.5 21/2=10.5
Answer:

Step-by-step explanation:

