1

Problem

The linear function f(x) = -0.5x - 3. Find the x-intercept and the y-intercept of the function.

2

Step

Given function

f(x) = - 0.5x - 3

3

Step

To find the x-intercept of a function f(x), substitute 0 for y in its equation:

0 = - 0.5x - 3

0.5x = 3

x = - 6

4

Step

To find the y-intercept, substitute x by 0 in f(x):

f(0) = - 0.5(0) - 3

f(0) = - 3

5

Step

The x-intercept of the function is - 6 and the y-intercept of the function is - 3.

6

Solution

Therefore, the function intercepts the x-axis at (- 6,0) and the y-axis at (0,- 3).

7

Sumup

Please summarize steps

Choices

8

Choice-A

Option A is inaccurate since it doesn’t align with the coordinates of the x and y intercepts we derived

Wrong (5, 0) and (0, 4)

9

Choice-B

Option B is accurate as it aligns with the values (-6, 0) for the x-intercept and (0, -3) for the y-intercept

Correct (- 6, 0) and (0, - 3)

10

Choice-C

Option C (-5, 0) and (0, -4) don’t align; the x-intercept is misstated as (-5, 0), and the y-intercept as (0, -4)

Wrong (- 5, 0) and (0, - 4)

11

Choice-D

Option D is incorrect as it yields (6, 0) for the x-intercept and (0, 3) for the y-intercept, contradicting calculations

Wrong (6, 0) and (0, 3)

12

Answer

Option

B

13

Sumup

Please summarize choices