Answer:
y=1/4x+25/4
Explanation:
The equation given is in Point-Slope Formula.
Assuming you need to write it in Slope-Intercept Formula, (y=mx+b)
You should start by distributing the 1/4 to the parenthesis which is x and a positive 9.
By doing so, we get 1/4x+9/4.
(If you struggle to distribute a fraction with a whole number, visualise it as 1/4 * 9/1. Any whole number in the numerator has a denominator of 1. Then multiple directly across: top numbers multiplied by the top numbers. Repeat for the bottom numbers. 1*9 is 9 and 4*1 is 4. So 1/4*9 is 9/4)
Then we can re-write the equation as:
y-4=1/4x+9/4. (Stay with me here :))
The next step is to add 4 to both sides to get y by itself.
We have: y=1/4x+9/4+4.
9/4 + 4 is 25/4.
(If this part does not make sense, Set up the fractions as 9/4 + 4/1. When we add or subtract fractions, we always need a common denominator. We can change the "1" in "4/1" by multiply the fraction by 4 on top and bottom. That gives our new fraction: 16/4. Now we can add because we have common denominators. Like multiplying fractions, add across the top numbers. 16+9 = 25. You don't need to add the denominators. We just needed to change one of them to a common denominator. The denominator stays the exact same because they're the same. So that's how we get 25/4)
The final equation written in slope-intercept form is
y=1/4x+25/4.
*All this work is assuming you need the original problem in "y=mx+b" form.*
When you graph the equation, you'll graph the y-intercept first (b in the equation. this is the 25/4) If it helps, make the intercept into a mixed number...you'll get 6 1/4.
After the y-intercept is graphed first, you can graph the slope which is the "m" in the equation. From the y intercept point, go up one and over 4.
Remember, "rise over run" when you graph the slope of a line. You'll start at the y-intercept and go up or down depending on what the slope is.
I know this was a lot to read and I hope I helped in any way :)
If this was not the correct work and you wanted different work, confirm by writing a comment please.
Good luck and once again, hope you understand the concept a little better.