Answer:
y - y1 = m(x - x1)
(x1, y1) = (1, -1) (x2, y2) = (3, 5)
m = 
m = 
m = 
= 
= 3
m = 3
y - 5 = 3(x - 3)
y - 5 = 3x - 9
y = 3x - 9 + 5
y = 3x - 4
Step-by-step explanation:
In order to use point-slope form to convert to slope-intercept form you have to know one point and the value of the slope. In this case, we know two points, but we don't know the slope. In order to find the slope, you can input the values of the two points into the expression: 
After finding the slope, input the values of one of the points (in this example I used (3,5)) and the slope. After that, multiply the slope by the two terms inside the parentheses. then add 5 to both sides of the equation to isolate y. Now your equation is in slope-intercept form.
I hope this helps :)
Answer: c= 0.79p
Step-by-step explanation:
Divide each cost by the number of pens it have to find the constant change value.
3.95/5 = 0.79
7.90/10= 0 .79
11.85/15 = 0.79
15.80 / 20 = 0.79
Since the constant change is 0.79 which means that for each pen it will cost you $0.79, then the equation will be c= $0.79p where c is the cost and p is the number of pens.
Answer:
Step-by-step explanation:
I think your answer is y/8. It's a little unusually worded. If this is not correct, please leave a note.
The way I have answered it, I would word it as "What is the quotient of y divided by 8."
Answer:
g(0.9) ≈ -2.6
g(1.1) ≈ 0.6
For 1.1 the estimation is a bit too high and for 0.9 it is too low.
Step-by-step explanation:
For values of x near 1 we can estimate g(x) with t(x) = g'(1) (x-1) + g(1). Note that g'(1) = 1²+15 = 16, and for values near one g'(x) is increasing because x² is increasing for positive values. This means that the tangent line t(x) will be above the graph of g, and the estimates we will make are a bit too big for values at the right of 1, like 1.1, and they will be too low for values at the left like 0.9.
For 0.9, we estimate
g(0.9) ≈ 16* (-0.1) -1 = -2.6
g(1.1) ≈ 16* 0.1 -1 = 0.6
X = 6 , y = -2
hope this helps
