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Answer:

Step-by-step explanation:

We want to make equation into slope intercept form.

Like this: y=mx+b

(mx and b are interchangeable)

Step 1) Convert equation

8x-5y=-11

Sub Step a) subtract 8x on both sides

8x-5y=-11 => -5y = -11-8x

-8x      -8x

Sub step b) get y alone

-5y/-5 = -11/-5 - 8x/-5

Equation: y = 11/5 + 8x/5

Step 2) Y-intercept

B is the y-intercept.

B = 11/5

y-intercept is (0,11/5)

Step 3) X-intercept

Substitute 0 for y in our equation

0=11/5+8x

Subtract 8x on both sides

-8x = 11/5

Divide by -8 on both sides

x = -11/40

x-intercept is (-11/40,0)

Answer:

x-intercept: (-11/8, 0)

y-intercept: (0,[tex]2\frac{1}{5}[/tex])

Step-by-step explanation:

x-intercept means the y-coordinate is 0

x-intercept: (x, 0)

Substitute y with 0

8x - 0 = -11

8x = -11

x = -11/8

x-intercept: (-11/8, 0)

y-intercept means the x-coordinate is 0

y-intercept: (0, y)

Substitute x with 0

0 - 5y = -11

5y = 11

y = 11/5 = 2 1/5

y-intercept: (0,[tex]2\frac{1}{5}[/tex])

Hope this helps :)

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