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Sagot :
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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