Answer:
The x-intercept is (-60, 0).
The y-intercept is (0, 20).
Step-by-step explanation:
x-intercept
The x-intercept is the point at which the graph intersects the x-axis, so when y = 0. Therefore, to find the x-intercept, substitute y = 0 into the given linear equation and solve for x:
[tex]x=3(0)-60\\\\x=0-60\\\\x=-60[/tex]
Therefore, the x-intercept is (-60, 0).
y-intercept
The y-intercept is the point at which the graph intersects the y-axis, so when x = 0. Therefore, to find the y-intercept, substitute x = 0 into the given linear equation and solve for y:
[tex]0 = 3y - 60\\\\3y=60\\\\y=20[/tex]
Therefore, the y-intercept is (0, 20).
Graph
To sketch the graph of the given linear equation, plot the x-intercept and y-intercept on a coordinate plane, and the draw a straight line through them.
