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

The line that has a slope of 3/2 is: "an increasing line that has a y-intercept of 0 and passes through the point, (2, 3) [option B].

What is the y-intercept of a line?

Y-intercept of any line is represented by the coordinate in this format, (0, y), where y is the y-intercept or the point on the y-axis the graph cuts across.

Using the coordinate of each y-intercept, calculate the slope of each line as follows:

Statement 1: Slope between (0, 4) and (3, 6)

Slope = change in y / change in x =
`\[ m = \frac{{6 - 4}}{{3 - 0}} = (2)/(3) \]`

Statement 2: Slope between (0, 0) and (2, 3)

`\[ m = \frac{{3 - 0}}{{2 - 0}} = (3)/(2) \]` (correct)

Statement 3: Slope between (0, 2) and (2, 8)

`\[ m = \frac{{8 - 2}}{{2 - 0}} = (6)/(2) = 3 \]`

Statement 4: Slope between (0, 6) and (2, 3)

`\[ m = \frac{{3 - 6}}{{2 - 0}} = (-3)/(2) \]`

Thus, the correct answer is option B.

Complete Question:

Which line has a slope of 3/2?

a. An increasing line that has a Y intercept of four and passes through the point, 3, six.

b. An increasing line that has a Y intercept of zero and passes through the point, 2, 3.

c. An increasing line that has a Y intercept of two and passes through the point, two, eight.

d. A decreasing line that has a Y intercept of six and passes through the point, two, three.