Graphing Linear Equations

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 letter 'm' represent in the equation y = mx + b?

Back

The letter 'm' represents the slope of the line.

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 in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by 'b' in the equation.

Front

Convert the equation -3x + 4y = 12 to slope-intercept form.

Back

The slope-intercept form is y = 3/4x + 3.

Front

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

Back

The slope is -2.

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

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does a negative slope indicate about a line?

Back

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

Front

How do you graph the equation y = 2x + 3?

Back

Start at the y-intercept (0, 3) and use the slope (2) to find another point (1, 5).