Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by the constant b in the equation y = mx + b.

Front

What is the y-intercept of the equation y = -2/3x + 2?

Back

The y-intercept is (0, 2).

Front

What is the slope of the equation y = -2/3x + 2?

Back

The slope is -2/3.

Front

How do you calculate the slope using two points (x1, y1) and (x2, y2)?

Back

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

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

Write the slope-intercept form of a line with a slope of -3 and a y-intercept of 0.

Back

The equation is y = -3x.

Front

What is the graphical representation of the equation y = -2/3x + 4?

Back

The line crosses the y-axis at (0, 4) and has a slope of -2/3.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.