Converting from Standard form 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 the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y by isolating it on one side of the equation.

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) represents the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What is the first step to isolate y in the equation -2x - 4y = -12?

Back

The first step is to add 2x to both sides of the equation.

Front

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

Back

To find the y-intercept from a linear equation in standard form, set x = 0 and solve for y.

Front

What is the last step to solve for y in the equation 3y = -5x + 10?

Back

The last step is to divide everything by 3 to isolate y.

Front

Convert the equation 4x - 5y = 10 into slope-intercept form.

Back

The slope-intercept form is y = -\frac{4}{5}x + 2.

Front

What is the slope of the line represented by the equation y = 2x - 6?

Back

The slope of the line is 2.

Front

What is the y-intercept of the line represented by the equation y = -\frac{1}{2}x + 2?

Back

The y-intercept is 2.