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