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 (m) represent in a linear equation?

Back

The slope (m) 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 (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 1/2, what does this indicate about the line's steepness?

Back

A slope of 1/2 indicates that for every 2 units moved horizontally to the right, the line moves up 1 unit.

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is 5, which means the line crosses the y-axis at the point (0, 5).

Front

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

Back

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

Front

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

Back

The slope of the line is -3.

Front

If the slope of a line is negative, what does this indicate about the direction of the line?

Back

A negative slope indicates that the line descends from left to right.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -3?

Back

The equation is y = 2x - 3.