Answer:
x-intercept = (6, 0)
y-intercept = (0, 10)
Step-by-step explanation:
Given the linear equation, 5x + 3y = 30:
We can find the y-intercept by setting x = 0, because the y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
Y-intercept: let x = 0:
5x + 3y = 30
5(0) + 3y = 30
0 + 3y = 30
Divide both sides by 3 to solve for y:
3y/3 = 30/3
y = 10
Therefore, the y-intercept = (0, 10).
The x-intercept is the point (a, 0) on the graph where it crosses the x-axis. It is also the value of x when y = 0.
X-intercept: let y = 0:
5x + 3(0) = 30
5x + 0 = 30
5x = 30
Divide both sides by 5 to solve for x:
5x/5 = 30/5
x = 6
Therefore, the x-intercept = (6, 0).
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