−0.3x−0.5y=0.15 *Hint: Multiply each term by a power of 10 to remove the decimal. *Hint: Find the x-intercept (what is x when y = 0?) and y-intercept (what is y when x = 0?)
To remove the decimal, we can multiply each term by 100:
100*(-0.3x) + 100*(-0.5y) = 100*(0.15)
-30x - 50y = 15
Now we can find the x-intercept by setting y = 0:
-30x - 50(0) = 15
-30x = 15
x = 15 / -30
x = -1/2
So the x-intercept is -1/2.
Similarly, we can find the y-intercept by setting x = 0:
-30(0) - 50y = 15
-50y = 15
y = 15 / -50
y = -3/10
So the y-intercept is -3/10.
so would it be (-1, 2) and (-3, 10)
No, the x-intercept is actually x = -1/2, not x = -1.
And the y-intercept is y = -3/10, not y = 10.
So the correct intercepts are:
x-intercept: (-1/2, 0)
y-intercept: (0, -3/10)