Write the slope-intercept form of the equation......****please help me****

of the line passing through the point (-2,5) and parallel to the line y=4x+6.


[A] y= 4x+13

[B] y= -4x-13

[C] y= 4x-22

[D] NONE OF THESE.

Definitely A. Let me know if you want an explanation to how this answer was determined.

Ok, slope intercept form is y=mx+b where m is the slope and b is the y intercept. Now, you're given one point that the line goes through and a line parallel to the one you're looking for. Parallel lines always have the same slope. So, from y=4x+6 we can see that the line we're trying to find has

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a slope of 4. Now we have a slope and a point so we can use the point-slope form. This form is y-y1=m(x-x1). All that's left for us to do is plug in the numbers and solve. Plugging them in gives

y-5=4(x-(-2))
y-5=4(x+2)
y-5=4x+8
y=4x+8+5
y=4x+13

And that's the answer! Hope that helped!

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