slopes and y-intercepts

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) is the value of y when x = 0, indicating where the line crosses the y-axis.

Front

How would you write the equation with a slope of 2/3 and a y-intercept of -3?

Back

y = 2/3x - 3

Front

What is the slope in the equation y = 2x + 3?

Back

2

Front

Is the graph of y = mx + b proportional?

Back

Yes, if m is not zero, the graph is a straight line through the origin.

Front

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

Back

5

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)