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What are the x- and y-intercepts of the graph of -2x+5y=30

User Allait
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1 Answer

4 votes

Answer:

X-intercept: -15

Y-intercept: 6

Explanation:

The x-intercept of a graph is the x-coordinate of the graph when it crosses the x-axis, that is, when y=0. So to find the x-intercept given the equation for a graph, we find x when y=0:

-2x+5y=30

-2x+5(0)=30

-2x=30

x=-15

Similarly, the y-intercept of a graph is the y-coordinate of the graph when it crosses the y-axis, that is, when x=0. So to find the y-intercept given the equation for a graph, we find y when x=0:

-2x+5y=30

-2(0)+5y=30

5y=30

y=6

User John Tor
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