Answer:
Slope: 6
y-intercept: 8
x-intercept: -4/3
Explanation:
Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, divide 2 from both sides:
(2y - 6x - 8)/2 = (0)/2
y - 6x - 8 = 0
Isolate the variable, y. Add 6x and 8 to both sides:
y -6x (+6x) - 8 (+8) = 0 (+6x) (+8)
y = 0 + 6x + 8
y = 6x + 8
The slope intercept form is: y = mx + b, in which m = slope, and b = y-intercept.
Slope: 6
y-intercept: 8
To find the x-intercept, plug in 0 for y in the equation:
y = 6x + 8
0 = 6x + 8
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 8 from both sides:
0 (-8) = 6x + 8 (-8)
-8 = 6x
Isolate the variable, x. Divide 6 from both sides:
(-8)/6 = (6x)/6
x = -8/6
x = -4/3
x-intercept: -4/3
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