Question

Which graph shows a line with the same y intercept as the graph of 10x - 16y = 40

Answer 1

Answer:

The graph option where the y-axis is intercepted at y = -2.5 by the line of the graph.

Step-by-step explanation:

The answer choices for the possible graphs that have the same y-intercept as the graph of 10x - 16y = 40 is missing here.

However, the answer can still be explained here.

We can figure out how the graph would look like.

First, understand that the y-intercept of a graph is the value of y, of the point where the line intercepts the y-axis.

Let's figure out what the y-intercept is given a graph represented by the equation, 10x - 16y = 40.

Rewrite the equation in slope-intercept form.

10x - 16y = 40

-16y = -10x + 40

y = -10x/-16 + 40/-16

y = ⅝x - ⁵/2

Therefore, the y-intercept of the graph of 10x - 16y = 40 is -⁵/2 or -2.5.

✅The graph shows a line with the same y-intercept as the graph of 10x - 16y = 40, would have it's y-axis intercepted at y = -2.5.