STUDY GUIDE 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

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

Back

'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

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

Back

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

Front

How do you find the y-intercept from the equation y = 5x + 8?

Back

The y-intercept is the value of y when x = 0. For y = 5(0) + 8, the y-intercept is (0, 8).

Front

What is the slope of the line represented by the equation y = 3x - 4?

Back

The slope is 3.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through the points (10, -8) and (1, 12).

Back

The slope is -20/9.

Front

What is the rate of change in a linear equation?

Back

The rate of change is the same as the slope, indicating how much y changes for a unit change in x.

Front

Write a linear equation for a situation where a store charges a $5 membership fee and $3.25 per video rented.

Back

The equation is y = 3.25x + 5.

Front

What is the significance of the slope in a real-world context?

Back

The slope indicates how steep the line is and represents the rate of change in a real-world scenario.