Questions: Graph the equation y=x/3-5 by plotting points.

Transcript text: Graph the equation $y=\frac{x}{3}-5$ by plotting points.

Solution

Solution Steps

Step 1: Find the y-intercept

The y-intercept is the value of _y_ when _x_ = 0. Substituting _x_ = 0 into the equation _y_ = _x_/3 - 5 gives _y_ = 0/3 - 5 = -5. So the y-intercept is (0, -5).

Step 2: Find the x-intercept

The x-intercept is the value of _x_ when _y_ = 0. Substituting _y_ = 0 into the equation _y_ = _x_/3 - 5 gives 0 = _x_/3 - 5. Adding 5 to both sides gives 5 = _x_/3. Multiplying both sides by 3 gives _x_ = 15. So the x-intercept is (15, 0).

Step 3: Plot the points and draw the line

Plot the two points (0,-5) and (15,0) on the graph. Draw a straight line through these two points.