Writing equations of lines

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 an equation in standard form?

Back

To find the slope from an equation in standard form (Ax + By = C), rearrange it to slope-intercept form (y = mx + b) and identify m.

Front

What does the 'b' represent in the slope-intercept form?

Back

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

Front

How do you determine the y-intercept from an equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

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

Back

A slope of -2 indicates that the line descends from left to right.

Front

What is the y-intercept of the equation 2x + 4y = 8?

Back

The y-intercept is (0, 2).

Front

How do you convert the equation 3x - 6y = 12 to slope-intercept form?

Back

Rearranging gives y = 1/2x - 2.

Front

What is the slope of the line represented by the equation y - 5 = -2(x + 6)?

Back

The slope is -2.

Front

What is the equation of a line with a slope of 4 and a y-intercept of -3?

Back

The equation is y = 4x - 3.