At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
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
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.