y-5=1/2(x+2)
multipy each term on the right by the 1/2
then, add 5 to both sides...
y= 1/2 x +6
Thank you.That help alot
but what about if like it was y+3=7/3(x-9) do you just add everything by 3 or -3?
for y+3=7/3 (x-9)
multiply the right by 7/3
y+3=7x/3 -21
subtract three from each side.
The given equation is y - 5 = 1/2(x + 2).
To understand the equation, let's break it down step by step:
Step 1: Distribute the 1/2 to the terms inside the parentheses.
This gives y - 5 = (1/2)x + 1.
Step 2: Move 5 to the right side of the equation by adding 5 to both sides.
We get y - 5 + 5 = (1/2)x + 1 + 5, which simplifies to y = (1/2)x + 6.
Therefore, the equation in slope-intercept form is y = (1/2)x + 6.
The slope-intercept form equation, y = mx + b, represents a linear equation, where m is the slope of the line and b is the y-intercept. In this case, the slope is 1/2, meaning the line has a positive slope that increases at a rate of half for every unit of increase in x. The y-intercept is 6, which tells us that the line intersects the y-axis at the point (0, 6).
If you need to graph this equation, plot the y-intercept at (0, 6), and then use the slope to find additional points. For example, if you increase x by 2 units, y increases by 1 unit. You can also find the x-intercept by setting y = 0 and solving for x.