Question

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

Answer 1

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

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

Solution:

Given equation is:

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

Find x intercept:

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 $(\frac{-2}{5}, 0)$

Find y intercept:

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 $(0, \frac{-2}{3})$