What is the y-intercept of the line -7x-5y=-45?

Mathematics

2 answers:

lukranit [14]2 years ago

8 0

Answer:

-9

First, we must convert the equation into slope intercept form, by solving for y.

Step 1: Add 7x to both sides.

$-7x-5y+7x=-45+7x-5y=-45+7x\\$

Step 2: Regroup terms.

$-5y=7x-45$

Step 3: Divide both sides by -5.

$y=-\frac{7x-45}{5}$

$y=-\frac{7}{5}x-9$

Now we can determine the y-intercept by just looking at the equation! the y-intercept is the only constant, -9

I hope this helps!

A brainliest will be greatly appreciated!

Goshia [24]2 years ago

7 0

Answer:

The y-intercept is at the point (0, 9).

Step-by-step explanation:

WE have the y intercept when x = 0:

-7(0) - 5y = -45

-5y = -45

y = -45/-5 = 9.

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