Simplify this equation and write your final answer in slope-intercept form.
y-5=1/2(x-6)
i need help .
what do i do ?
y-5=1/2(x-6) expand the right side
y-5 = (1/2)x - 3 add 5 to both sides
y = (1/2)x + 2
To simplify the equation and write it in slope-intercept form, we need to first distribute the 1/2 to the terms inside the parentheses.
Let's break down the steps:
1. Distribute 1/2 to (x-6):
(1/2)(x-6) = 1/2 * x - 1/2 * 6
= 1/2x - 3
2. Now, let's rewrite the equation using the distributed form:
y - 5 = 1/2x - 3
3. Next, we isolate y by adding 5 to both sides of the equation:
y - 5 + 5 = 1/2x - 3 + 5
= 1/2x + 2
4. The equation in slope-intercept form is now:
y = 1/2x + 2
So, the simplified equation written in slope-intercept form is y = 1/2x + 2.