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 find the y-intercept from the standard form equation?

Back

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

Front

Convert the equation 3x + 2y = 12 to slope-intercept form.

Back

y = -\frac{3}{2}x + 6

Front

What is slope-intercept form?

Back

Slope-intercept form is expressed as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you calculate the slope from the standard form equation?

Back

The slope can be calculated using the formula m = -A/B from the standard form Ax + By = C.

Front

Convert the equation 11x - 4y = 32 to slope-intercept form.

Back

y = \frac{11}{4}x - 8

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

Convert the equation -10x + 5y = 15 to slope-intercept form.

Back

y = 2x + 3

Front

What is the significance of the y-intercept in a graph?

Back

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

Front

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

Back

y = x + 1