Questions: Use the intercepts to sketch the graph of the function: y=x-5

Transcript text: Use the intercepts to sketch the graph of the function: $y=x-5$

Solution

Solution Steps

Step 1: Find the x-intercept

To find the x-intercept, we set $y = 0$ and solve for $x$: $0 = x - 5$ $x = 5$ So the x-intercept is $(5, 0)$.

Step 2: Find the y-intercept

To find the y-intercept, we set $x = 0$ and solve for $y$: $y = 0 - 5$ $y = -5$ So the y-intercept is $(0, -5)$.

Step 3: Plot the intercepts and draw the line

We plot the points $(5, 0)$ and $(0, -5)$ on the Cartesian plane. Since we know that the graph of $y = x - 5$ is a line, we can simply draw a straight line passing through these two points.

Final Answer

The graph of the function $y = x - 5$ is a line passing through the points $(5, 0)$ and $(0, -5)$. The given image shows a point at $(5,0)$ which matches the x-intercept, thus the equation is consistent with the plotted point.

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >