Question

Determine the x- and y-intercepts of the graph of x + 3y = 9.

Then plot the intercepts to graph the equation.
Line

Answer 1

Answers are
x intercept (9, 0) and y intercept (0, 3)
Equation in y intercept form is
y = -1/3x + 3

Step by step

x + 3y = 9
Change this into y intercept form

3y = -1x + 9

Divide both sides by 3 to isolate y

3/3 y = -1/3x + 9/3

y = -1/3x + 3 is your equation

Your points to graph

Using your original equation
x + 3y = 9

Substitute 0 for x and solve for y intercept
0 +3y = 9
Divide both sides by 3
Y = 3

Substitute 0 for y and solve for x intercept
X + (3)(0) = 9
X = 9

You now have points to graph
(9, 0) and (0, 3)

Graph is attached