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labwork [276]
3 years ago
9

Find the x-intercepts and y-intercepts of 10x+6y=-4

Mathematics
1 answer:
NISA [10]3 years ago
6 0

The x intercept is (\frac{-2}{5}, 0)

The y intercept is (0, \frac{-2}{3})

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

10x + 6y = -4

The x intercept is the point where the line crosses the x axis

The y intercept is the point where the line crosses the y axis

<em><u>Find x intercept:</u></em>

Substitute y = 0 in given equation

10x + 6(0) = -4

10x = -4

x = \frac{-4}{10}\\\\x = \frac{-2}{5}

Thus the x intercept is (\frac{-2}{5}, 0)

<em><u>Find y intercept:</u></em>

Substitute x = 0 in given equation

10(0) + 6y = -4

6y = -4\\\\y = \frac{-4}{6}\\\\y = \frac{-2}{3}

Thus the y intercept is (0, \frac{-2}{3})

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