Question

Determine the intercepts of the line.

Do not round your answers.

-4x+7y=3

X-intercept: ( , )
Y-intercept: ( , )

Answer 1

x-intercept: (-3/4, 0)

y-intercept: (0, 3/7)

Explanation:

To find x-intercept, let y = 0 and solve for x:

`\displaystyle{-4x+7(0)=3}\\\\\displaystyle{-4x=3}\\\\\displaystyle{x=-(3)/(4)}`

Therefore, there is the x-intercept at (-3/4, 0)

To find y-intercept, let x = 0 and solve for y:

`\displaystyle{-4(0)+7y=3}\\\\\displaystyle{7y=3}\\\\\displaystyle{y=(3)/(7)}`

Therefore, there is the y-intercept at (0, 3/7)