Converting Standard to Slope Intercept Form

Front

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

Back

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

Front

How do you isolate y in the equation Ax + By = C?

Back

To isolate y, rearrange the equation to the form By = -Ax + C, then divide by B to get y = (-A/B)x + (C/B).

Front

What does the slope (m) represent in the slope-intercept form?

Back

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

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

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

Front

Convert the equation 3x + 4y = 12 to slope-intercept form.

Back

y = (-3/4)x + 3.

Front

Convert the equation 6x - 2y = 10 to slope-intercept form.

Back

y = 3x - 5.

Front

What is the first step to convert an equation to slope-intercept form?

Back

The first step is to move the x-term to the other side of the equation.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

If the slope of a line is zero, what does that indicate about the line?

Back

A zero slope indicates a horizontal line, meaning y remains constant regardless of x.

Front

Convert the equation 5x + 2y = 8 to slope-intercept form.

Back

y = (-5/2)x + 4.