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 (Ax + By = C)?

Back

Rearrange the equation to slope-intercept form (y = mx + b) to identify the slope (m).

Front

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

Back

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

Front

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

Back

A slope of -3/2 indicates that the line falls as it moves from left to right.

Front

How do you convert the equation -3y + 5x = 12 to slope-intercept form?

Back

Rearranging gives y = (5/3)x - 4.

Front

What is the slope of the line represented by the equation 3x - 5y = 7?

Back

The slope is 3/5.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line.

Front

How can you determine the y-intercept from the equation 4x + 2y = -12?

Back

Rearranging to y = -2x - 6 shows that the y-intercept is -6.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line.