Question

Graph the equation $y=-\frac{5}{3}x+4$by plotting the points.

Short answer

The graph of the given equation is,

Step-by-step solution

Step 1. GIven information.

The equation is given as $y=-\frac{5}{3}x+4$for the graph.

Step 2. Find the points to plot.

Apply the substitution of the independent variable into the given equation and solve to find the respective values of the dependent variable, which gives the required points.

• Substitute the different values of x into the given equation and find the respective values of y.

x	0	3	6
y	4	-1	-6

Step 3. Graph the equation using the points.

Use the obtained points to find the graph of the given equation.

• Plot the given points into the graph and match them with a straight line to get the required graph.