Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the slope-intercept form (y = mx + b)?

Back

In the slope-intercept form, 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

What does 'b' represent in the slope-intercept form (y = mx + b)?

Back

In the slope-intercept form, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line y = 3x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

What is the x-intercept of the line y = 2x - 6?

Back

The x-intercept is 3, which is found by setting y = 0 and solving for x: 0 = 2x - 6, so x = 3.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the equation of a line with a slope of 5 that passes through the point (-1, -3)?

Back

The equation is y = 5x + 2.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.