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

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 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

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0; it is where the line crosses the y-axis.

Front

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

Back

y = (3/4)x + 3.

Front

What is the slope of the line represented by the equation y = -1x + 2?

Back

The slope is -1.

Front

If a line has a slope of -3/2, what does this indicate about the line's direction?

Back

The line is decreasing; as x increases, y decreases.

Front

Write the equation for a line with a slope of 2 and a y-intercept of 5.

Back

The equation is y = 2x + 5.

Front

What is the relationship between the slope and parallel lines?

Back

Parallel lines have the same slope.

Front

What is the relationship between the slope and perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.