Graphing 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

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) represents the point where the line crosses the y-axis.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line descends from left to right.

Front

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

Back

The equation is already in slope-intercept form, where the slope is 2 and the y-intercept is 3.

Front

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

Back

The slope of the line is -3.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

How do you find the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the significance of a positive slope in a linear equation?

Back

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

Front

How do you graph the equation y = 1/2x + 1?

Back

Start at the y-intercept (0,1), then use the slope (1/2) to rise 1 unit and run 2 units to the right.