Standard Form to Slope Intercept Form

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is expressed as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert 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 in terms of x.

Front

What is the slope-intercept form of the equation -2x + 8y = 2?

Back

y = \frac{1}{4}x + \frac{1}{4}.

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.

Front

What is the first step to convert 2x + 4y = 8 into slope-intercept form?

Back

Subtract 2x from each side.

Front

If the slope of a line is 3, what is the slope-intercept form of the line that passes through the point (0, 2)?

Back

y = 3x + 2.

Front

What is the slope of the line represented by the equation 5x + 2y = 10?

Back

The slope is -\frac{5}{2}.

Front

How do you find the x-intercept of a linear equation in standard form?

Back

Set y = 0 and solve for x.

Front

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

Back

Set x = 0 and solve for y.