Writing Linear Equations in Slope-Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

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

Front

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

Back

The y-intercept is the value of y when x = 0. It can be found by substituting x = 0 into the equation.

Front

What is the y-intercept of the equation y = 2x + 5?

Back

The y-intercept is 5.

Front

If the slope of a line is 3, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 3 units.

Front

How do you convert the equation y = -2x + 4 into slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope is -2 and the y-intercept is 4.

Front

What is the slope of the line represented by the equation y = 1/2x - 3?

Back

The slope is 1/2.

Front

Given the slope -4 and y-intercept -2, write the equation of the line.

Back

The equation is y = -4x - 2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.