11/21 - Review - Slope Intercept/Standard Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the x-intercept of an 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 of an equation?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Convert the equation 2x + 4y = 8 into slope-intercept form.

Back

y = -0.5x + 2.

Front

What is the y-intercept of the equation 3x + 4y = 24?

Back

The y-intercept is 6.

Front

Find the x and y intercepts of the equation 4x - 5y = 40.

Back

x-intercept is 10, y-intercept is -8.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you convert from standard form to slope-intercept form?

Back

Isolate y on one side of the equation to express it in the form y = mx + b.