LT.7: Students find x- and y-intercepts by graphing.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, meaning the y-coordinate is 0.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, meaning the x-coordinate is 0.

Front

How do you find the x-intercept from a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept from a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the significance of the x-intercept in a graph?

Back

The x-intercept indicates where the output (y) is zero, which can represent solutions to equations.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept indicates the starting value of y when x is zero, often representing initial conditions.

Front

If a line has an x-intercept of -1, what does this mean?

Back

It means the line crosses the x-axis at the point (-1, 0).

Front

If a line has a y-intercept of 3, what does this mean?

Back

It means the line crosses the y-axis at the point (0, 3).

Front

What is the x-intercept of the line represented by the equation y = 2x + 2?

Back

The x-intercept is -1, found by setting y = 0: 0 = 2x + 2, so x = -1.

Front

What is the y-intercept of the line represented by the equation y = -3x + 6?

Back

The y-intercept is 6, found by setting x = 0: y = -3(0) + 6, so y = 6.