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 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 slope-intercept form?

Back

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

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

Convert the equation 3x + 2y = 6 to slope-intercept form.

Back

y = -3/2x + 3.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope is -4.

Front

Identify the slope in the equation y = 5/2x - 1.

Back

The slope is 5/2.

Front

What is the standard form of the equation for a line with a slope of 2 and a y-intercept of -3?

Back

The standard form is 2x - y = 3.

Front

How do you find the slope from the standard form equation 4x - 2y = 8?

Back

Rearranging to slope-intercept form gives y = 2x - 4, so the slope is 2.