The equation y +3=5(x−3) represents a linear function. What is the y-intercept of the equation?
A. (0, 36)
B. (0, 5)
C. (0, −18)
D. (0, −72)
idk
Your answer is? tip: get y by itself on the left side
To find the y-intercept of the equation, we need to determine the value of y when x is equal to 0. In other words, we substitute x = 0 into the equation and solve for y.
Let's substitute x = 0 into the given equation:
y + 3 = 5(0 - 3)
Simplifying the right side of the equation:
y + 3 = 5(-3)
Multiplying 5 by -3:
y + 3 = -15
Now, we isolate y by subtracting 3 from both sides of the equation:
y = -15 - 3
Simplifying the right side:
y = -18
Therefore, the y-intercept of the equation is (0, -18).
So the correct answer is C. (0, -18).
Better tip: the y-intercept is found when x = 0
y +3=5(x−3)
y+3 = 5(0-3)
Now finish it off.