Answer:
the second option.
Step-by-step explanation:
The equation of the line passing through the points
and
in slope intercept form is
.
The equation of a line passing through two points
and
is
, where
represents the slope.
Take
and
as
and
respectively.
Put the values in the general equation,
![(y-y_1)=\frac{y_2-y_1}{x_2-x_1} (x-x_1)](https://tex.z-dn.net/?f=%28y-y_1%29%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%28x-x_1%29)
![(y-3)=\frac{-3-3}{-5-25} (x-25)](https://tex.z-dn.net/?f=%28y-3%29%3D%5Cfrac%7B-3-3%7D%7B-5-25%7D%20%28x-25%29)
![(y-3)=\frac{-6}{-30} (x-25)](https://tex.z-dn.net/?f=%28y-3%29%3D%5Cfrac%7B-6%7D%7B-30%7D%20%28x-25%29)
![-30(y-3)=(-6) (x-25)](https://tex.z-dn.net/?f=-30%28y-3%29%3D%28-6%29%20%28x-25%29)
![-30y+90=-6x+150](https://tex.z-dn.net/?f=-30y%2B90%3D-6x%2B150)
![-30y=-6x+150-90](https://tex.z-dn.net/?f=-30y%3D-6x%2B150-90)
![-30y=-6x+60](https://tex.z-dn.net/?f=-30y%3D-6x%2B60)
Slope intercept form is
, where
is the slope and
is the
-intercept
![y=\frac{-6}{-30}x+\frac{60}{-30}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-6%7D%7B-30%7Dx%2B%5Cfrac%7B60%7D%7B-30%7D)
![y=\frac{1}{5}x-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B5%7Dx-2)
Learn more about slope-intercept form here:
brainly.com/question/9682526?referrer=searchResults
Answer:
C
Step-by-step explanation:
given 7 - 4(x - 1) = 20 ( Step 1 is to distribute the parenthesis )
7 - 4x + 4 = 20 ( not 7 - 4x + 1 = 20 ← - 1 is multiplied by - 4 )
Step 1 ← is incorrect → C
Answer: 44
Step-by-step explanation: .8X55 = 44
∠C = ∠ D (vertical angles
C= -2x + 90
D= x-30
Since C = D , Then -2x + 90 = x-30
-2x - x = - 30 - 90
-3x = -120
3x = 120 and x = 40°. Now replace x by 40 in any of the equality, say :
D = x-30 ; D = 40 - 30 and D = 10°