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What are the intercepts of the line -5x-4y=10

User Candino
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  • Slope-Intercept Form: y = mx + b, with m = slope and (0,b) as the y-intercept.

So starting with the y-intercept, the easiest method to find it is to convert this standard form equation to slope-intercept form. Firstly, add 5x to both sides:


-4y=5x+10

Next, divide both sides by -4 and your slope-intercept form is
y=-(5)/(4)x-(5)/(2)

Looking at this slope-intercept form, the y-intercept is (0, -5/2).

Now to find the x-intercept, just set the y-variable to zero and solve:


-5x-4*0=10\\-5x=10\\x=-2

Our x-intercept is (-2,0).

User Satya Tanwar
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