Consider that the slope-intercept form of the straight line with slope (m) and y-intercept (c) is given by,
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
a.
Modify the given equation as,
![\begin{gathered} \frac{x}{3}+\frac{y}{2}=1 \\ \frac{y}{2}=-\frac{x}{3}+1 \\ y=-\frac{2}{3}x+2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7Bx%7D%7B3%7D%2B%5Cfrac%7By%7D%7B2%7D%3D1%20%5C%5C%20%5Cfrac%7By%7D%7B2%7D%3D-%5Cfrac%7Bx%7D%7B3%7D%2B1%20%5C%5C%20y%3D-%5Cfrac%7B2%7D%7B3%7Dx%2B2%20%5Cend%7Bgathered%7D)
Thus, the equation in slope-intercept form can be written as,
![y=-\frac{2}{3}x+2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B2%7D%7B3%7Dx%2B2)
b.
Modify the given equation as,
![\begin{gathered} 4x-3y+2=0 \\ 3y=4x+2 \\ y=\frac{4}{3}x+\frac{2}{3} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%204x-3y%2B2%3D0%20%5C%5C%203y%3D4x%2B2%20%5C%5C%20y%3D%5Cfrac%7B4%7D%7B3%7Dx%2B%5Cfrac%7B2%7D%7B3%7D%20%5Cend%7Bgathered%7D)
Thus, the equation in slope-intercept form can be written as,
![y=\frac{4}{3}x+\frac{2}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%7D%7B3%7Dx%2B%5Cfrac%7B2%7D%7B3%7D)
c.
Modify the given equation as,
![\begin{gathered} x-y=5(x-y) \\ x-y=5x-5y \\ 5y-y=5x-x \\ 4y=4x \\ y=x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x-y%3D5%28x-y%29%20%5C%5C%20x-y%3D5x-5y%20%5C%5C%205y-y%3D5x-x%20%5C%5C%204y%3D4x%20%5C%5C%20y%3Dx%20%5Cend%7Bgathered%7D)
Thus, the equation in slope-intercept form can be written as,
The best way to figure this out is to rewrite the equation in to standard slope form:
y = mx + b
this would look like...
5y = -7x + 35
divide 5 from each side of the equation...
-7
y = —— x + 7
5
find the values you can graph...
b = y intercept = the point in which the line "hits" the y axis on the graph. so count 7 points up and plot a point on the y axis at 7.
once you plot that, this is the starting point of your slope...
-7 (rise) count 7 down
m = slope = —— (over)
5 (run) count 5 to the right
message me if you need anything to clarify or any other questions!
Answer:
D is the answer.
Step-by-step explanation:
Answer:
1 home + 1 triple + 5 double
1 +3+5×2
1+3+10=14
35-14 =21 singles
21/35×100=60%
The far of reaching the wall
24tan71
=69.70106106ft