Construct Slope-Intercept Equations

Front

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

Back

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

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does the y-intercept represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

If a line has a slope of -3, what does this indicate about its direction?

Back

A slope of -3 indicates that the line descends from left to right.

Front

How can you convert the equation y = 2x + 5 into slope-intercept form?

Back

The equation is already in slope-intercept form with a slope of 2 and a y-intercept of 5.

Front

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

Back

The slope of the line is -4.

Front

If a line passes through the point (0, 3), what is the y-intercept?

Back

The y-intercept is 3.

Front

How do you find the equation of a line given a slope of 1/2 and a y-intercept of -4?

Back

The equation is y = 1/2x - 4.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope is calculated as (y2 - y1) / (x2 - x1).