Question

2)Write the equation 2x+2y=10 so that y is a function of x. Then find y when x is -2,0,2

Answer 1

Rewrite 2x + 2y = 10 into slope-intercept form:

y(x)= mx + b

2x - 2x + 2y = -2x + 10

2y/2 = (-2x + 10)/2

y = -x + 5

y(x) = -x + 5

Next, we’ll find the value of y when x = -2, 0, 2:

y(-2) = -x + 5

y(-2) = -(-2) + 5
y(-2) = 2 + 5 = 7

Next, we’ll solve for y(0):

y(0) = -(0) + 5

y(0) = 0 + 5 = 5


Finally, we’ll find y(2):
y(2) = -(2) + 5

y(2) = -2 + 5

y(2) = 3