A. Consider a line with slope m and y-intercept b. The ordered pair that represents the y-intercept is (0,...

A. Consider a line with slope m and y-intercept b. The ordered pair that represents the y-intercept is (0, b).
B. Recall that the slope of a line is the ratio of change in y to change in x. Complete the equation of the line by using the point from Part A and another point on the line (x, y).
C. Solving the equation from Part B for y gives y = mx + b. The y = mx + b form of a linear equation is called the slope-intercept form. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept of the graph.
1. Describe what is happening to the graph when m is positive.
2. Describe what is happening to the graph when m is negative.
3. Describe what is happening to the graph when m is zero.
4. Describe what is happening to the graph when b is zero.
5. Describe what is happening to the graph when b is positive.
6. Describe what is happening to the graph when b is negative.
7. Describe what is happening to the graph when the absolute value of m is large.
8. Describe what is happening to the graph when the absolute value of m is small.
9. Describe what is happening to the graph when the absolute value of b is large.
10. Describe what is happening to the graph when the absolute value of b is small.
For a decreasing linear function, m is < 0, so f(x) = mx + b, where m < 0.