Respuesta :

linandrew41

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:

[tex]y-7 = -\frac{5}{2} (x+6)[/tex]

[tex]y - 7 = -\frac{5}{2} x-15\\y= -\frac{5}{2} x-8[/tex]<------ Answer

Hope that helps!

iciclepiano18

Answer:

[tex]y=-\frac{5}{2}x-8[/tex]

Step-by-step explanation:

Parallel lines have the same slope therefore...

[tex]y=-\frac{5}{2}x+b[/tex]

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

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

Therefore the equation is:

[tex]y=-\frac{5}{2}x-8[/tex]

Otras preguntas