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MAT1033 HELP ! 8x+12y=9

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  • Slope-Intercept form: y = mx + b, with m = slope and b = y-intercept

The easiest method to find the slope and y-intercept is to convert this standard form equation to slope-intercept form. Firstly, subtract 8x on both sides of the equation:
12y=-8x+9

Next, divide both sides by 12, and your slope-intercept form is:
y=-(2)/(3)x+(3)/(4)

Now looking at this slope-intercept form, we can see that the slope is -2/3 and the y-intercept is (0, 3/4).

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