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 of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

How do you identify the y-intercept from the equation y = mx + b?

Back

The y-intercept is the value of b in the equation, which is the point where the line crosses the y-axis.

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope is -3.

Front

If a line has a slope of 1/2, what does this mean?

Back

For every 2 units you move to the right (positive x-direction), you move up 1 unit (positive y-direction).

Front

What is the y-intercept of the equation y = 4x - 7?

Back

The y-intercept is -7.

Front

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

Back

Start at the y-intercept (0, 1) and use the slope (2) to find another point: from (0, 1), go up 2 and right 1 to (1, 3).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

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

Back

The equation is y = 3x - 2.

Front

How do you convert the equation y = 1/4x + 3 into standard form?

Back

Multiply by 4 to get 4y = x + 12, then rearrange to -x + 4y = 12.