Solve for m: -5(m - 3) + 6 = 2(m - 5)
1 answer:
Answer:
<h2>Step-by-step explanation:
-5(m - 3) + 6 = 2(m - 5)
<u>Expand the terms in the bracket</u>
That's
- 5m + 15 + 6 = 2m - 10
- 5m + 21 = 2m - 10
<u>Subtract 2m from both sides</u>
- 5m - 2m + 21 = 2m - 2m - 10
- 7m + 21 = - 10
<u>Subtract 21 from both sides</u>
That's
- 7m + 21 - 21 = - 10 - 31
- 7m = - 31
<u>Divide both sides by - 7</u>
We have the final answer as
<h3>Hope this helps you
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Answer:
y = -2x - 5
Step-by-step explanation:
<u>1) Find the slope of the line.</u>
The slope of the original line is the same as the slope of the parallel line.
Slope formula:
In this case you can choose any 2 set of points on the table.
=
=
= -2
So the slope of the line is -2
<u>2) Use the point-slope formula to find the equation of the line.</u>
Point-slope formula:
Now plug in the point (0, -5) and the slope -2 into the equation.
y - (-5) = -2(x - 0)
y + 5 = -2(x - 0)
To solve the equation first apply the distributive property.
y + 5 = -2x + 0
y + 5 = -2x
Next, subtract 5 from sides.
y = -2x - 5
You know have your equation in point-slope form!