Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Determine the intercepts of the line.
Do not round your answers.

-4x+7y=3

x-intercept: 
(◻,◻)

y-intercept: 
(◻,◻)

Determine the intercepts of the line.\newlineDo not round your answers.\newline4x+7y=3-4x+7y=3\newlinex-intercept: \newline(,)(\square,\square)\newliney-intercept: \newline(,)(\square,\square)

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newline4x+7y=3-4x+7y=3\newlinex-intercept: \newline(,)(\square,\square)\newliney-intercept: \newline(,)(\square,\square)
  1. Finding the x-intercept: To find the x-intercept, we set yy to 00 and solve for xx.
    4x+7(0)=3-4x + 7(0) = 3
    4x=3-4x = 3
    x=34x = \frac{3}{-4}
    x=34x = -\frac{3}{4}
    The x-intercept is at (34,0)(-\frac{3}{4}, 0).
  2. Finding the y-intercept: To find the y-intercept, we set xx to 00 and solve for yy.
    4(0)+7y=3-4(0) + 7y = 3
    7y=37y = 3
    y=37y = \frac{3}{7}
    The y-intercept is at (0,37)(0, \frac{3}{7}).

More problems from Standard form: find x- and y-intercepts