Slope Intercept Form

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 identify the slope from the slope-intercept form?

Back

In the slope-intercept form y = mx + b, the slope is represented by the coefficient m.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value b in the equation y = mx + b.

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

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

How can you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

To convert to slope-intercept form, solve for y: 3y = -2x + 6, then y = -2/3x + 2.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 4?

Back

The equation is y = -1x + 4 or y = -x + 4.

Front

How do you find the y-intercept from the equation y = 5x - 7?

Back

The y-intercept is -7, which is the constant term in the equation.

Front

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

Back

The slope of the line is -2.

Front

If the slope of a line is positive, what does that indicate about the direction of the line?

Back

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