The equation of line is:
as the y-intercept is zero
Step-by-step explanation:
Given
(-2,3)
Equation of line => 3x+2y=6
Converting the equation in slope intercept form
![3x+2y=6\\2y=-3x+6\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=-\frac{3}{2}x+\frac{6}{2}\\y=-\frac{3}{2}x+3](https://tex.z-dn.net/?f=3x%2B2y%3D6%5C%5C2y%3D-3x%2B6%5C%5CDividing%5C%20both%5C%20sides%5C%20by%5C%202%5C%5C%5Cfrac%7B2y%7D%7B2%7D%3D-%5Cfrac%7B3%7D%7B2%7Dx%2B%5Cfrac%7B6%7D%7B2%7D%5C%5Cy%3D-%5Cfrac%7B3%7D%7B2%7Dx%2B3)
The co-efiicient of x is the slope of the fiven line
So,
m=-3/2
The line parallel to given line will have the same slope as slopes of two parallel lines are equal
Now,
Slope-intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Putting the value of slope
![y=-\frac{3}{2}x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx%2Bb)
to find the value of b, put (-2,3) in the equation
![3=-\frac{3}{2}(-2)+b\\3=3+b\\b=0\\](https://tex.z-dn.net/?f=3%3D-%5Cfrac%7B3%7D%7B2%7D%28-2%29%2Bb%5C%5C3%3D3%2Bb%5C%5Cb%3D0%5C%5C)
Putting the value of b and m
![y=-\frac{3}{2}x+0\\y=-\frac{3}{2}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx%2B0%5C%5Cy%3D-%5Cfrac%7B3%7D%7B2%7Dx)
Hence,
The equation of line is:
as the y-intercept is zero
Keywords: Slope-intercept form, Slope
Learn more about slope-intercept form at:
#LearnwithBrainly
A= 42in²
P = 2l + 2w so
(21 x 2) + (2 x 2)
42 + 4 = 46
46 = 21 by 2
Now let's do 6 and 7
(6 x 2) + (7 x 2)
12 + 14 = 26
46 > 26
so 21 by 2 has greater P (perimeter)
Answer:Mean is 63. There is no mode. Median is 64.
- Step-by-step explanation: The mean was solved by adding the listed numbers and dividing them by the amount of listed numbers. 86+17+64+63+89+42+80=144 144/7=63 There are no repeated numbers, therefore there is no mode. 64 is the middle number so it is the median.
Answer:
D) log₁₀20x⁵-1 and E) log₁₀(2x⁵)
Step-by-step explanation:
5log₁₀x+log₁₀20-log₁₀10
5log₁₀x+log₁₀20-1
log₁₀x⁵+log₁₀20-1
log₁₀20x⁵-1 (Option D)
5log₁₀x+log₁₀20-log₁₀10
log₁₀20x⁵-log₁₀10
log₁₀(20x⁵/10)
log₁₀(2x⁵) (Option E)