Question

−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?)
what is the plot points too

Answer 1

To remove the decimal, we can multiply each term in the equation by 100, because 0.15 can be written as 15/100 or 0.15 * 100.

So, the equation becomes:
-0.3x - 0.5y = 15

To find the x-intercept, we set y equal to 0 and solve for x:
-0.3x - 0.5(0) = 15
-0.3x = 15
Dividing both sides by -0.3:
x = 15 / -0.3
x = -50

So, the x-intercept is -50.

To find the y-intercept, we set x equal to 0 and solve for y:
-0.3(0) - 0.5y = 15
-0.5y = 15
Dividing both sides by -0.5:
y = 15 / -0.5
y = -30

So, the y-intercept is -30.

The plot points of the equation are (-50, 0) and (0, -30).