First, simplify the equation to slope intercept form to find the slope;
2x+3y=4
3y=4-2x
y=(-2x+4)/3
The slopes of parallel lines are the same, therefore, the slope of the second line would also be -2/3
Write out the slope intercept form with the information we know and input the coordinates of the point;
y=mx+c
-4=(-2/3)(1)+c
-4+(2/3)=c
(-12/3)+(2/3)=c
-10/3=c
Therefore, the final equation is y=-2/3x-10/3
Hope I helped :)
Answer:
Step-by-step explanation:
y=2x+4
slope=2
y- intercept=4

so draw a line through (0,2) and (2,8)
Answer:
(4k^2+7)(7k+6)
Step-by-step explanation:
1. group the first two terms (28k^3-24k^2). The greatest common factor is 4k^2. If you factor that out you get 4k^2(7k-6)
2.When you group the last two terms (49k-42). you can factor out a 7.
7(7k-6).
3. There is a (7k-6) in both sections so you can combine all the terms.
4k^2(7k-6) 7(7k-6) becomes (4k^2)(7k-6)
Answer:
r = 12 millimeters
Step-by-step explanation:
Surface area of a ball = 4πr²
Surface area of a ball = 576 pi square millimeters
Surface area of a ball = 4πr²
576π = 4πr²
r² = 576π / 4π
r² = 144
Find the square root of both sides
√r² = √144
r = 12
r = 12 millimeters