Slope Intercept Form

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

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

Back

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

Front

How do you identify the slope from the equation y = 4x + 2?

Back

The slope is 4, which is the coefficient of x.

Front

What is the y-intercept of the equation y = -2x + 5?

Back

The y-intercept is (0, 5).

Front

If the slope of a line is 3, what does this mean?

Back

It means that for every 3 units the line rises, it moves 1 unit to the right.

Front

Write the equation in slope-intercept form for a line with a slope of -1 and a y-intercept of 4.

Back

The equation is y = -1x + 4.

Front

What is the slope of the line represented by the equation y = 1/2x - 3?

Back

The slope is 1/2.

Front

How can you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

Rearranging gives y = -2/3x + 2.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2, calculated as (6-2)/(3-1).