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Sagot :
Answer:
y=2x+7
Step-by-step explanation:
When an equation is parallel to another, it shares the same slope.
Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)
This means that our slope is 2 because m represents the slope.
The slope of our parallel line will then also be 2.
We can begin to plug that into point-slope form which is:
y - y1 = m(x - x1)
This is where (x1, y1) is a point the line intersects, and m is the slope.
Plugging in the slope, we'll have:
y - y1 = 2(x - x1)
We also know it intersects the point (-4, -1)
We can plug this into our equation as well.
y - (-1) = m(x - (-4))
y+1=2(x+4)
Now, we can simplify it into slope-intercept form:
y+1=2(x+4)
Distribute
y+1=2x+8
Subtract 1 from both sides
y=2x+8-1
y=2x+7
Answer:
y = 2x + 7
Step-by-step explanation:
y - y1 = m(x - x1)
First, put y and x into the equation and enter the slope, which is 2.
y + 1 = 2(x + 4)
(The negative 1 and 4 are changed to a positive 1 and 4 since the two negative signs cancel each other out)
Next, distribute.
y + 1 = 2x + 8
Then, you move the 1 to the other side of the equation to isolate the y. This will change the 1's sign into a negative and you will result with this after adding like terms:
y = 2x + 7
The equation of the line parallel to y = 2x - 8, and that goes through the point (-4, -1) is y = 2x + 7
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