Graphing in slope-intercept form

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

What does the slope (m) represent in a linear equation?

Back

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

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

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

Back

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

Front

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

Back

The slope is 3.

Front

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

Back

The y-intercept is 5.

Front

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

Back

It is already in slope-intercept form with a slope of -3 and a y-intercept of 2.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 3?

Back

The equation is y = 4x + 3.

Front

If a line has a slope of -1/3, what does this indicate about its direction?

Back

The line descends from left to right.

Front

What is the equation of a line that passes through the point (0, 5)?

Back

The equation can be y = mx + 5, where m is the slope.