Writing 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 identify the slope from the equation y = -5/4x + 2?

Back

The slope is -5/4.

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

Write the equation of a line with a slope of 3 and a y-intercept of -1.

Back

y = 3x - 1.

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

How do you find the equation of a line given a point (x1, y1) and a slope m?

Back

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

Front

Convert the point-slope form y - 2 = 3(x + 1) to slope-intercept form.

Back

y = 3x + 5.

Front

What is the equation of a line with a slope of -1/2 that passes through the point (2, 3)?

Back

y = -1/2x + 4.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.