1. Graphing Lines (Slope-Intercept Form)

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from a linear equation in slope-intercept form?

Back

The slope (m) can be identified as the coefficient of x in the equation y = mx + b.

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis, which can be expressed as the coordinate (0, b).

Front

How can you find the y-intercept from a linear equation in slope-intercept form?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the slope of the line represented by the equation y = -4x + 2?

Back

The slope of the line is -4.

Front

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

Back

The y-intercept of the line is (0, 3).

Front

How do you graph a linear equation using the slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (0, b) and use the slope (m) to determine the rise over run to find another point.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 4?

Back

The equation of the line is y = 2x + 4.

Front

How do you determine the slope from a graph of a linear function?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and use the formula m = rise/run.

Front

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

Back

The slope of the line is 3.