Write the slope-intercept form of the equation of the line described.

1 answer:

7 0

The equation for a line is y=mx+b

m is the slope, so when a line is perpendicular to another line is has a slope which is an opposite reciprocal, so change the -1/2 (the slope of the other line) to 2/1 or just 2

so m=2

now you need to plug in the point they give you for x and y

y=mx+b
4=2(4) + b
simplify
4=8 + b
subtract 8 over
-4 = b

now that you know that slope (m) and the y-intercept (b) you can plug those two numbers into the original equation for the answer

y= 2x -4

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Nastasia [14]

Hey there! I'm happy to help!

Lines that are parallel have the same slopes because they are increasing or decreasing at the same rate and therefore will never bump into each other.

We see that y=2 has a slope of 0 because there is no x that we can see in the equation. This is just a flat line.

If the line we are looking for is flat; it stays at the same y-value the entire time. We see that the y-value for this line of ours is -6. Therefore, the answer is C. y=-6.

I hope that this helps! Have a wonderful day!

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