Question

Which line has a slope of 32

?
An increasing line that has a Y intercept of four and passes through the point, 3, six. An increasing line that has a Y intercept of zero and passes through the point, 2, 3. An increasing line that has a Y intercept of two and passes through the point, two, eight. A decreasing line that has a Y intercept of six and passes through the point, two, three.

Answer 1

Option d represents a decreasing line with a slope of -32, a y-intercept of 6, and passing through the point (2, 3).

What is the slope of a line?

The slope of a line is given by the coefficient of the x term in its equation when written in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

Let's analyze the given options:

a. y = mx + b with m = 32, b = 4, and passing through (3, 6).

6 = 32 * 3 + 4 is not satisfied.

b. y = mx + b with m = 32, b = 0, and passing through (2, 3).

3 = 32 * 2 + 0 is not satisfied.

c. y = mx + b with m = 32, b = 2, and passing through (2, 8).

8 = 32 * 2 + 2 is not satisfied.

d. y = mx + b with m = -32, b = 6, and passing through (2, 3).

3 = -32 * 2 + 6 is satisfied.

So, the line with a slope of 32 is the decreasing line with a y-intercept of 6 and passing through the point (2, 3), which corresponds to option d.