Answer:
A: y = 4x + 7
Step-by-step explanation:
Step 1: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = 4x + b
We are given a point (x, y) of (2, 15), so plug that in and solve for b.
15 = 4(2) + b
15 = 8 + b (simplify)
7 = b (subtract 8 from both sides to isolate b)
So the equation of our line is y = 4x + 7
Answer:
y = -3/2 x +5
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
m= (8--1)/(-2-4)
m= (8+1)/(-2-4)
m= (9/-6)
m=-3/2
point slope form
y-y1=m(x-x1)
y--1 = -3/2(x-4)
distribute
y+1 = -3/2x +3/2 *4
y+1 = -3/2x + 6
subtract 1 from each side
y = -3/2 x +6-1
y = -3/2 x +5
this is in slope intercept form (y=mx+b)
Answer:
x = 30
Step-by-step explanation:
well from the theorem we have
yes i know you could say that the right way is
well if you notice they are the same only that in my way the x is in the numerator which means it will be far easier to know it's value :)
so
![\frac{15}{3}=\frac{x}{6}\\\\5=\frac{x}{6}\\\\6[5]=6[\frac{x}{6}]\\\\30=x](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B3%7D%3D%5Cfrac%7Bx%7D%7B6%7D%5C%5C%5C%5C5%3D%5Cfrac%7Bx%7D%7B6%7D%5C%5C%5C%5C6%5B5%5D%3D6%5B%5Cfrac%7Bx%7D%7B6%7D%5D%5C%5C%5C%5C30%3Dx)
Answer:
Yes
6(x+0.4) is equivalent to 3(2x+0.8)
Step-by-step explanation:
Given in the questions two expressions
6(x + 0.4)
3(2x + 0.8)
We will apply distributive law
It is a law relating the operations of multiplication and addition, stated symbolically
<h3>a(b + c) = ab + ac</h3><h3 />
6(x + 0.4)
= 6(x) + 6(0.4)
= 6x + 2.4
3(2x + 0.8)
= 3(2x) + 3(0.8)
= 6x + 2.4
Since both equations when expanded have same answers, hence they are equivalent
