Answer:
Step-by-step explanation:
1). Equation of a line which has slope 'm' and y-intercept as 'b' is,
y = mx + b
If slope 'm' = 1 and y-intercept 'b' = -3
Equation of the line will be,
y = x - 3
x - y = 3
2). Equation of a line having slope 'm' and passing through a point (x', y') is,
y - y' = m(x - x')
If the slope 'm' = 1 and point is (-1, 2),
The the equation of the line will be,
y - 2 = 1(x + 1)
y = x + 1 + 2
y = x + 3
x - y = -3
3). Equation of a line passing through two points
and
will be,
![y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cfrac%7B%28y_2-y_1%29%7D%7B%28x_2-x_1%29%7D%28x-x_1%29)
If this line passes through (-2, 3) and (-3, 4),
![y-3=\frac{(4-3)}{(-3+2)}(x+2)](https://tex.z-dn.net/?f=y-3%3D%5Cfrac%7B%284-3%29%7D%7B%28-3%2B2%29%7D%28x%2B2%29)
y - 3 = -1(x + 2)
y = -x - 2 + 3
y = -x + 1
x + y = 1
I don't know if I did this right.
There are 1097.6 pages in the book. I multiplied .35 by 56 and got 19.6. I multiplied 19.6 by 56 and got 1097.6. Therefore, there are 1097.6 pages in the book.
Slope of the line is -3/2
Step-by-step explanation:
- Step 1: Given that (-2, 4) is a point on the line y = mx + 1, find slope m.
Since the point is on the line, the coordinates will satisfy the equation.
⇒ 4 = m × -2 + 1
⇒ 4 = -2m + 1
⇒ 3 = -2m
∴ m = -3/2
Answer:
7) Obtuse, I didn't use a protractor, so I'm estimating about 130 degrees.
8) Straight, all straight lines are equal to 180 degrees.
9) Acute, I estimated about 30-40 degrees, again, no protractor used.
Step-by-step explanation:
Answer:
s = 5.1
Step-by-step explanation:
![0.7 (3s + 4)-1.1s = 7.9\\](https://tex.z-dn.net/?f=0.7%20%283s%20%2B%204%29-1.1s%20%3D%207.9%5C%5C)
Multiply both sides of the equation by 10
![0.7\left(3s+4\right)\cdot \:10-1.1s\cdot \:10=7.9\cdot \:10\\\\= 7\left(3s+4\right)-11s=79\\](https://tex.z-dn.net/?f=0.7%5Cleft%283s%2B4%5Cright%29%5Ccdot%20%5C%3A10-1.1s%5Ccdot%20%5C%3A10%3D7.9%5Ccdot%20%5C%3A10%5C%5C%5C%5C%3D%207%5Cleft%283s%2B4%5Cright%29-11s%3D79%5C%5C)
Expand
![\mathrm{Expand\:}7\left(3s+4\right)-11s:\\\quad 10s+28](https://tex.z-dn.net/?f=%5Cmathrm%7BExpand%5C%3A%7D7%5Cleft%283s%2B4%5Cright%29-11s%3A%5C%5C%5Cquad%2010s%2B28)
Subtract 28 from both sides
![10s+28-28=79-28](https://tex.z-dn.net/?f=10s%2B28-28%3D79-28)
Simplify
![10s=51](https://tex.z-dn.net/?f=10s%3D51)
Divide both sides of the equation by 10
![\frac{10s}{10}=\frac{51}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B10s%7D%7B10%7D%3D%5Cfrac%7B51%7D%7B10%7D)
Simplify
![s=\frac{51}{10}\\\\Decimal = 5.1](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B51%7D%7B10%7D%5C%5C%5C%5CDecimal%20%3D%205.1)