X and Y Intercepts Greg Windle Algebra 2C
What is the X-Intercept? The value of X when the line or curve of a graph intersects or crosses the x axis.
What is the Y-Intercept? The value of Y when the line or curve of a graph intersects or crosses the Y axis.
Common Uses You will most commonly find the Y intercept in Algebra. This is found in the formula for a linear line: y=mx+b However the X incept can also be found using that formula.
Y = mx + b Y = the y coordinate M = Slope X = the x coordinate B = Y-intercept In order to find the Y-intercept, you can simply plug in the slope and one set of coordinates, and solve for b. There is no variable representing the x-intercept, however the x intercept is the coordinate of x when y is equal to 0. So plug in 0 for y, and solve for x in order to find the X-intercept.
EF-4 (a)  y = -2x + 7 The problem asks for you to graph this equation. One thing that all linear lines and equations have is a y-intercept, or b. In this case b=7 So the y intercept is 7. Plug in 0 for Y and solve for x.
The X-intercept of BB-4 (a) After you plug in 0 for y you should get this: 0 = -2x + 7. Subtract 7 from both sides:  -7 = -2x Divide both sides by -2:  3.5 = x Therefore: When y is 0, x is 3.5 Making 3.5 the X-intercept.

Algebra Bench2

  • 1.
    X and YIntercepts Greg Windle Algebra 2C
  • 2.
    What is theX-Intercept? The value of X when the line or curve of a graph intersects or crosses the x axis.
  • 3.
    What is theY-Intercept? The value of Y when the line or curve of a graph intersects or crosses the Y axis.
  • 4.
    Common Uses Youwill most commonly find the Y intercept in Algebra. This is found in the formula for a linear line: y=mx+b However the X incept can also be found using that formula.
  • 5.
    Y = mx+ b Y = the y coordinate M = Slope X = the x coordinate B = Y-intercept In order to find the Y-intercept, you can simply plug in the slope and one set of coordinates, and solve for b. There is no variable representing the x-intercept, however the x intercept is the coordinate of x when y is equal to 0. So plug in 0 for y, and solve for x in order to find the X-intercept.
  • 6.
    EF-4 (a) y = -2x + 7 The problem asks for you to graph this equation. One thing that all linear lines and equations have is a y-intercept, or b. In this case b=7 So the y intercept is 7. Plug in 0 for Y and solve for x.
  • 7.
    The X-intercept ofBB-4 (a) After you plug in 0 for y you should get this: 0 = -2x + 7. Subtract 7 from both sides: -7 = -2x Divide both sides by -2: 3.5 = x Therefore: When y is 0, x is 3.5 Making 3.5 the X-intercept.