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-5x - 4y = 10

y-intercept:
x-intercept:





Pls step by step please

1 Answer

4 votes

Answer:

y-intercept: -5/2

x-intercept: -2

Explanation:

To find the y-intercept and x-intercept from a linear equation in standard form (Ax+By=C), which it is in right now, solve like a one step algebraic equation.

Think about it this way. When a point it is on the y-intercept, the x value is 0. When a point it is on the x-intercept, the y value is 0.

So, this is the equation for solving for the y-intercept is:

By=C

And for the x-intercept:

Ax=C

Now we can find the intercepts.

x-intercept:

-5x = 10

Divide by -5 on both sides.

x=-2

The x-intercept is -2.

y-intercept:

-4y=10

Divide by -4 on both sides.

y=-10/4

y=-5/2

The x-intercept is -5/2.

User Manish Nakar
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