Question

What is the slope and y-intercept of −2y−10=−5x

Answer 1

Slope: 5/2 & y-intercept: -5

Hello :)

Step-by-step explanation -

Our task is to identify the slope & y-intercept of
`\sf{-2y-10=-5x}`.

The easiest way to do it is to write the equation in slope-intercept form.

`\sf{-2y=-5x+10}` (adding 10 to both sides)

`\sf{-y=-\cfrac{5}{2}+\cfrac{10}{2}}`

`\sf{-y=-\cfrac{5}{2}x+5}`

`\sf{y=\cfrac{5}{2}x-5}`

1. Slope: 5/2
2. Y-intercept: -5

Answer 2

Slope = 5/2

y-intercept = -5

Explanation:

We can find the slope and y-intercept of the given equation by putting it in the slope-intercept form of a line, whose general equation is given by:

y = mx + b, where

• m is the slope,
• and b is the y-intercept.

As the form shows, y is isolated so we want to isolate y and then identify the slope, m, and the y-intercept, b:

(-2y - 10 = -5x) + 10

(-2y = -5x + 10) / -2

y = 5/2x - 5

Thus, the slope is 5/2 and the y-intercept is -5.