Slope-Intercept Form Review

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 as (0, b).

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

Back

The y-intercept is (0, 5).

Front

If the slope of a line is 3, what does this mean?

Back

It means for every 1 unit increase in x, y increases by 3 units.

Front

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

Back

Rearranging gives y = -2/3x + 2.

Front

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

Back

The slope is -4.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -2?

Back

The equation is y = 1x - 2.

Front

How do you identify the slope and y-intercept from the equation y = 5x + 3?

Back

Slope: 5, Y-intercept: (0, 3).