Answer:
y=x+12
Step-by-step explanation:
y=-x+12; is a line with slope m1=-1
to find perpendicular slope of intersecting line take the negative inverse of m1. so -1*(1/(-1))=1=m2
use equation for a line of y=m*x+b and put in the point (-5,7) and solve for b=the y axis intercept
7=1*(-5)+b
7=-5+b
12=b
so
y=x+12
Answer:
4.1 x 10^-2
Step-by-step explanation:
Answer:
![\sf y = \bold -\frac{2}{5} x -3](https://tex.z-dn.net/?f=%5Csf%20y%20%3D%20%5Cbold%20-%5Cfrac%7B2%7D%7B5%7D%20x%20-3)
Explanation:
part A identification for slope:
![\sf 2x + 5y = 15](https://tex.z-dn.net/?f=%5Csf%202x%20%2B%205y%20%3D%2015)
![\sf 5y = -2x + 15](https://tex.z-dn.net/?f=%5Csf%205y%20%3D%20-2x%20%2B%2015)
![\sf y = \frac{-2x + 15}{5}](https://tex.z-dn.net/?f=%5Csf%20y%20%3D%20%5Cfrac%7B-2x%20%2B%2015%7D%7B5%7D)
![\sf y = -\frac{2 }{5} x+3](https://tex.z-dn.net/?f=%5Csf%20y%20%3D%20-%5Cfrac%7B2%20%7D%7B5%7D%20x%2B3)
comparing with slope intercept form: y = mx + b
we can find that here the slope is
part B, solving the equation:
if the line is parallel, then the slope will be same.
given coordinates: ( - 10, 1 )
using the equation:
y - y₁ = m( x - x₁ )
![\sf y - 1 = \bold -\frac{2}{5} (x --10)](https://tex.z-dn.net/?f=%5Csf%20y%20-%201%20%3D%20%5Cbold%20-%5Cfrac%7B2%7D%7B5%7D%20%28x%20--10%29)
![\sf y = \bold -\frac{2}{5} x -4 + 1](https://tex.z-dn.net/?f=%5Csf%20y%20%3D%20%5Cbold%20-%5Cfrac%7B2%7D%7B5%7D%20x%20-4%20%2B%201)
![\sf y = \bold -\frac{2}{5} x -3](https://tex.z-dn.net/?f=%5Csf%20y%20%3D%20%5Cbold%20-%5Cfrac%7B2%7D%7B5%7D%20x%20-3)
Extra information:
check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.
K, you have 2 minutes, one minute for one kilometer.
If you're in 60km/h, you're on 1km/m, so, if you cover 1 km in one minute, you need to stay in that speed to get to the train station.