Give the slope and y intercept 6x-3y=-9
1 answer:
To find the slope and the y-intercept of this equation, we need to first convert it to slope-intercept form. (y = mx + b)
To convert it, we need to first isolate the y term by subtracting 6x from both sides of the equation.
6x - 6x - 3y = -9 - 6x
-3y = -9 - 6x
Now that the y term is on one side of the equation, we can continue.
Divide <em>everything </em>on the left side of the equation by the coefficient on the right side of the equation. In this case, the number is 3.
y = -3 - 2x
Flip some of those numbers around to get this:
y = 2x - -3
Get rid of the double negative. (Change 2x - -3 into 2x + 3)
y = 2x + 3
Now that we've converted the equation, we can identify the slope (the number beside x) and y-intercept (the number that stands alone)
Slope: 2
Y-intercept: 3
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