Question

Find the x-intercept and y-intercept of the graph of each linear function.

Short answer

The x and y intercepts are$x=3$ and $y=-2$.

Step-by-step solution

Step 1. State the concept for plotting a straight line using equation.

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.

Then, algebraically,

• an x-intercept is a point on the graph where y is zero, and
• a y-intercept is a point on the graph where x is zero.

More specifically,

• an x-intercept is a point in the equation where the y-value is zero, and
• a y-intercept is a point in the equation where the x-value is zero.

Step 2. Plot the points.

The points are $\left(3,0\right)$and $\left(0,-2\right)$.

Graph the equation by using x and y-intercept method. First, find the x and y-intercept from the equation and then plot the points on the grid and join then to complete the graph.

x-Intercept: $x=3$.

y-Intercept: $y=-2$.

Step 3. Plot the graph.

From the Graph the x and y intercepts points are$\left(3,0\right)$ and $\left(0,-2\right)$.

Thus, the x and y intercepts are $x=3$and $y=-2$.