Answer:
-11 x + 19 thus c.) is your answer
Step-by-step explanation:
Simplify the following:
-5 + 4 (6 - 2 x) - 3 x
4 (6 - 2 x) = 24 - 8 x:
-3 x + 24 - 8 x - 5
Add like terms. 24 - 5 = 19:
-3 x - 8 x + 19
-8 x - 3 x = -11 x:
Answer: -11 x + 19
In order to find a slope, there is an equation:
Y2-Y1/X2-X1
X1=2
X2=3
Y1=5
Y2=0
0-5= -5
3-2=1
Since slope is written as Y/X, slope would be-5/1 or simply, -5.
Now, we need to find the y-intercept.
To do this, shift the original equation:
Original equation: y=-5x+b
Shifted equation: b=y+5x
Now, plug in one of the points.
Let's use (2,5)
b=5+5(2)
5*2=10
10+5=15
y-intercept=15
So, the full equation of the line would be:
y=-5x+15
You would multiply by -4/3. That's cuz to get to 1, you have to cancel out the negative, with another negative. You then have to multiply by the reciprocal.
Hope this helps!