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.

y=-7x+3

y-intercept: 
(◻,◻)

x-intercept: 
(◻,◻)

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

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newliney=7x+3y=-7 x+3\newliney y -intercept: (,) (\square, \square) \newlinex x -intercept: (,) (\square, \square)
  1. Find y-intercept: To find the y-intercept, we set xx to 00 and solve for yy.\newliney=7(0)+3y = -7(0) + 3\newliney=3y = 3\newlineThe y-intercept is the point where the line crosses the y-axis, so the x-coordinate is 00.\newlineTherefore, the y-intercept is at (0,3)(0, 3).
  2. Find x-intercept: To find the x-intercept, we set yy to 00 and solve for xx.
    0=7x+30 = -7x + 3
    7x=3-7x = -3
    x=3/7x = -3 / -7
    x=3/7x = 3 / 7
    The x-intercept is the point where the line crosses the x-axis, so the y-coordinate is 00.
    Therefore, the x-intercept is at (3/7,0)(3/7, 0).

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