find the x and y intercepts -5x+9y = -45
x intercept occurs when y=0
solve -5x=-45
x intercept occurs at x=9
y intercept occurs when x=0
solve 9y=-45
y intercept occurs at y=-5
To find the x-intercept and y-intercept of the equation -5x + 9y = -45, we need to determine the values of x and y when the other variable is zero.
To find the x-intercept (where y is zero), we substitute y = 0 into the equation and solve for x:
-5x + 9(0) = -45
-5x = -45
x = -45 / -5
x = 9
So, the x-intercept is (9, 0).
To find the y-intercept (where x is zero), we substitute x = 0 into the equation and solve for y:
-5(0) + 9y = -45
9y = -45
y = -45 / 9
y = -5
So, the y-intercept is (0, -5).
In conclusion, the x-intercept is (9, 0) and the y-intercept is (0, -5).