Slope Intercept and Standard Form of Linear Equations

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 find the x-intercept of a linear equation?

Back

To find the x-intercept of a linear equation, set y to 0 and solve for x.

Front

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

Back

To find the y-intercept of a linear equation, set x to 0 and solve for y.

Front

What is 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

Convert the equation y = 2x + 5 into standard form.

Back

The standard form is -2x + y = 5.

Front

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

Back

To find the slope, convert to slope-intercept form: y = (5/2)x - 5, so the slope is 5/2.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

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.