Writing Linear Equations

Front

What is the slope of the line represented by the equation 4x + y = -10?

Back

The slope is -4.

Front

What is the y-intercept of the line represented by the equation 4x + y = -10?

Back

The y-intercept is (0, -10).

Front

Convert the equation y = 3x + 2 into standard form.

Back

The standard form is 3x - y = -2.

Front

What is the equation of a vertical line that passes through the point (6, -7)?

Back

The equation is x = 6.

Front

How do you find the slope of a line given two points (1,1) and (3,5)?

Back

Slope (m) = (y2 - y1) / (x2 - x1) = (5 - 1) / (3 - 1) = 2.

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

Write the equation of the line with a slope of 2 that passes through the point (0, 3).

Back

The equation is y = 2x + 3.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis.

Front

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

Back

It is a horizontal line.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.