Answer:
1) y = 3/5x + 8
2) Slope: 10
y-intercept: -1/3
3) y = -1/2x - 1
Explanation:
1) The equation you need to refer to for this problem is y = mx+b
m = slope (3/5 for this problem)
b = y-intercept(which is 8)
plug those numbers in and you get y = 3/5x + 8
2) look back at this equation: y = mx+b
10 is the slope and -1/3 is the y-intercept
3) This one is a bit more difficult as you need two other formulas to solve:
the slope formula, y1 - y2/x1 - x2, and the point-slope formula,
y - y1 = m(x - x1)
For this problem, you have the coordinates (4, -3) and (6, -4) which you would plug into the slope formula, like this:
-3 -(-4)/4 - 6 = -1/2
the numbers 1 and 2 in this formula refer to the first (x,y) value and the second. You subtract the two y values and the two x values, simplify, and you get your answer.
-1/2 is going to be the m, or slope, that you will use in the second formula, the point slope formula, y - y1 = m(x - x1)
To solve this you choose one of the original coordinates that you were given to plug into the y1 and x1, and plug -1/2, your slope, in for m:
(keep in mind, for this, I used (4,-3) but you can use either one)
y -(-3) = -1/2(x - 4)
To solve this you, first, distribute -1/2 to x and -4 inside the parentheses:
y -(-3) = -1/2x + 2
Then, on the other side, add the to negatives to get a positive 3:
y + 3 = -1/2x + 2
and subtract 3 from both sides:
y = -1/2x - 1
I hope this isn't too confusing
good luck!