Question

Write an equation parallel to y= -5/2x + 9 that passes through the point (-6,7) brainly

Answer 1

Answer:

Step-by-step explanation:

If two lines are parallel, that means their slopes are equal.

And we also know that the line must pass through (-6,7)

And with our point-slope equation, we get the equation:

$y-7 = -\frac{5}{2} (x+6)$

$y - 7 = -\frac{5}{2} x-15\\y= -\frac{5}{2} x-8$<------ Answer

Hope that helps!

Answer 2

Answer:

$y=-\frac{5}{2}x-8$

Step-by-step explanation:

Parallel lines have the same slope therefore...

$y=-\frac{5}{2}x+b$

Then, substitute the given points into the equation to solve for b (y-intercept):

$7=-\frac{5}{2}(-6)+b\\7=\frac{30}{2}+b\\7=15+b\\\text{Subtract 15 from both sides}\\b=-8$

Therefore the equation is:

$y=-\frac{5}{2}x-8$