Converting Standard to Slope Intercept Form

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from an equation in standard form?

Back

To find the slope from an equation in standard form (Ax + By = C), rearrange it to slope-intercept form (y = mx + b) and identify m.

Front

What does the slope represent in a linear equation?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

Convert the equation 4x + 5y = -7 to slope-intercept form.

Back

y = (-4/5)x - 7/5

Front

Rewrite the equation 6x - 2y = 10 in slope-intercept form.

Back

y = 3x - 5

Front

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

Back

y = (-3/4)x - 3

Front

What is the slope-intercept form of the equation 5x + 2y = -3?

Back

y = (-5/2)x - (3/2)

Front

Rewrite the equation -4x + 2y = 8 in slope-intercept form.

Back

y = 2x + 4

Front

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

Back

Isolate the y variable on one side of the equation.