SOLUTION: 1. Write the equation of the line passing through the points (0, -4) and (-2, 2. Write the equation of the line with a slope of -5 and a y-intercept of (0,3). 3. Write the equatio

Algebra ->  Linear-equations -> SOLUTION: 1. Write the equation of the line passing through the points (0, -4) and (-2, 2. Write the equation of the line with a slope of -5 and a y-intercept of (0,3). 3. Write the equatio      Log On


   

Question 551090: 1. Write the equation of the line passing through the points (0, -4) and (-2, 2. Write the equation of the line with a slope of -5 and a y-intercept of (0,3).
3. Write the equation of the line passing through the points (0, -4) and (-2, 4. Write the equation of the line passing through the points (-6,1) and (-4,2).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.

# 1



First let's find the slope of the line through the points and


Note: is the first point . So this means that x%5B1%5D=0 and y%5B1%5D=-4.
Also, is the second point . So this means that x%5B2%5D=-2 and y%5B2%5D=2.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%282--4%29%2F%28-2-0%29 Plug in y%5B2%5D=2, y%5B1%5D=-4, x%5B2%5D=-2, and x%5B1%5D=0


m=%286%29%2F%28-2-0%29 Subtract -4 from 2 to get 6


m=%286%29%2F%28-2%29 Subtract 0 from -2 to get -2


m=-3 Reduce


So the slope of the line that goes through the points and is m=-3


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y--4=-3%28x-0%29 Plug in m=-3, x%5B1%5D=0, and y%5B1%5D=-4


y%2B4=-3%28x-0%29 Rewrite y--4 as y%2B4


y%2B4=-3x%2B-3%28-0%29 Distribute


y%2B4=-3x%2B0 Multiply


y=-3x%2B0-4 Subtract 4 from both sides.


y=-3x-4 Combine like terms.


So the equation that goes through the points and is y=-3x-4


Notice how the graph of y=-3x-4 goes through the points and . So this visually verifies our answer.
Graph of y=-3x-4 through the points and