Question

Determine the intercepts of the line: y = 5x - 13.

a) y-intercept: (0, -13), x-intercept: (2.6, 0)
b) y-intercept: (0, -13), x-intercept: (2.6, 0)
c) y-intercept: (-13, 0), x-intercept: (2.6, 0)
d) y-intercept: (-13, 0), x-intercept: (0, 2.6

Answer 1

The y-intercept of the line y = 5x - 13 is at (0, -13), and the x-intercept is at (2.6, 0), making option a) the correct answer.

Step-by-step explanation:

To determine the intercepts of the line y = 5x - 13, one must identify where the line crosses the y-axis and the x-axis. The y-intercept is found when x = 0. Substituting this into the equation, we get y = 5(0) - 13, which simplifies to y = -13. Thus, the y-intercept is at the point (0, -13).

For the x-intercept, we need to find the point where y = 0. Setting the equation to zero and solving for x, 0 = 5x - 13, gives x = 13/5 or x = 2.6. Therefore, the x-intercept is at the point (2.6, 0).

The correct answer is option a) y-intercept: (0, -13), x-intercept: (2.6, 0).