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 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

Given the equation 2x + y = 41, what is the slope-intercept form?

Back

The slope-intercept form is y = -2x + 41.

Front

What is the first step to solve the equation -2x - 4y = -12 for y?

Back

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

Front

How do you isolate y in the equation 10x - 5y = 30?

Back

To isolate y, first subtract 10x from both sides, then divide by -5.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope of the line is 3.

Front

What is the y-intercept of the line represented by the equation y = -x + 3?

Back

The y-intercept is 3.

Front

How can you check if your slope-intercept form is correct?

Back

You can check by substituting values of x into the equation and verifying that the corresponding y values satisfy the original equation.