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yuradex [85]
3 years ago
13

Find the x-intercept and y-intercept of the line . -6x+5y=9

Geography
1 answer:
nekit [7.7K]3 years ago
8 0

Answer:

x-intercept: (-\frac{3}{2},0)

y-intercept: (0,\frac{9}{5})

Explanation:

We have the following Line equation:

-6x+5y=9

<h3>x-intercpet:</h3>

If we want to find the x-intercept (the point where the line crosses with the x-axis), we have to set y=0:

-6x+5(0)=9

-6x=9

x=-\frac{9}{6}

Simplifying:

x=-\frac{3}{2}

Hence, the x-intercept point is (-\frac{3}{2},0)

<h3>y-intercept:</h3>

If we want to find the y-intercept (the point where the line crosses with the y-axis), we have to set x=0:

-6(0)+5y=9

5y=9

y=\frac{9}{5}

Hence, the x-intercept point is (0,\frac{9}{5})

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