Question

Please help if you dont want to please don’t accept Please see attached picture to help

Answer 1

Given the equation:

7x - 4y = -16

Let's find the slope and the y-intercept of the line.

Apply the slope-intercept form of a linear equation:

y = mx + b

Where m is the slope and b is the y-intercept.

Now, rewrite the equation for y using the following steps:

• Subtract 7x from both sides of the equation:

7x - 7x - 4y = -7x - 16

-4y = -7x - 16

• Divide both all terms in the equation by -4:

`\begin{gathered} (-4y)/(-4)=(-7x)/(-4)-(16)/(-4) \\ \\ y=(7)/(4)x+4 \\ \\ y=1(3)/(4)x+4 \end{gathered}`

Therefore, the equation in slope intercept form is:

`y=1(3)/(4)x+4`

Thus, we have:

The slope of the line in its simplest form is = 1¾

`\text{slope}=1(3)/(4)`

The y-intercept of the line is = 4

ANSWER:

Slope = 1¾

y-intercept = 4