✏️CLASSWORK X and Y intercepts from Equation

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, meaning the value of y is 0.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, meaning the value of x is 0.

Front

How do you find the x-intercept from the equation 5x - 3y = 15?

Back

Set y = 0 and solve for x: 5x = 15, so x = 3. The x-intercept is (3, 0).

Front

How do you find the y-intercept from the equation 5x - 3y = 15?

Back

Set x = 0 and solve for y: -3y = 15, so y = -5. The y-intercept is (0, -5).

Front

What are the x- and y-intercepts of the equation 3x + 4y = 24?

Back

The x-intercept is (8, 0) and the y-intercept is (0, 6).

Front

What is the formula to find the x-intercept of a linear equation in standard form Ax + By = C?

Back

Set y = 0 and solve for x: x = C/A.

Front

What is the formula to find the y-intercept of a linear equation in standard form Ax + By = C?

Back

Set x = 0 and solve for y: y = C/B.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Given the equation 2x - 5y = 35, what is the y-intercept?

Back

Set x = 0: -5y = 35, so y = -7. The y-intercept is (0, -7).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Given the equation 3x + 8y = 24, what is the x-intercept?

Back

Set y = 0: 3x = 24, so x = 8. The x-intercept is (8, 0).

Front

What is the significance of the x- and y-intercepts in a graph?

Back

They indicate where the graph crosses the axes, helping to understand the behavior of the function.