Graphing Using Slope Intercept Form

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the slope-intercept form y = mx + b.

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 two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

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

Back

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

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from Ax + By = C to slope-intercept form, solve for y to get y = mx + b.

Front

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

Back

The y-intercept is (0, 3).

Front

If a line has a slope of 1/2, what does this indicate about the line?

Back

A slope of 1/2 indicates that for every 2 units you move horizontally to the right, you move 1 unit up.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

How do you determine the coordinates of a point on a line given the equation y = 3x + 1?

Back

Substitute a value for x into the equation to find the corresponding y value.