Answer:
y = 5/6x - 5.167
Or
y = 5/6x - 31/6
Step-by-step explanation:
The equation of a line
y = mx + c
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given points
( 0 , -7) ( 5 , -1)
x1 = 0
y1 = -7
x2 = 5
y2 = -1
Insert the values into the equation
m = -1 - (-7) / 5 - 0
m = -1 + 7 / 5
m = 6/5
y = 6/5x + c
Step 2: sub any of the two points given into the equation
y = 5/6x + c
( 5 , -1)
x = 5
y = -1
-1 = 5/6(5) + c
-1 = 5*5/6 + c
-1 = 25/6 + c.
c = -1 - 25/6
LCM = 6
c = -6 - 25 / 6
c = -31/6
c = -5.167
Step 3: sub c into the equation
y = 5/6x + c
y = 5/6x - 31/6
Or
y = 5/6x - 5.167
The equation of the line is
y = 5/6x - 5.167
The answer to 2-(-8)+(-3)= 7
Answer:
y=(3x/2)+3 and y=(-1x/2)-1
Step-by-step explanation:
So what I did was use rise/run to find the slope of the equation. Let's focus on the line going from the bottom left to the top right corner. For this line, I would start on (-2,0) which is one of the points plotted on your number line and count how much it is away from (0,3). You should get 3 units. After this, count how much it is to the right which is 2 units. Now, use rise/run to find the slope. 3/2, therefore the slope of the line is 3x/2. Now all we need is the y-int. For the Y int, all we have to do is see where the line touches the Y-axis which in this case is at (0,3). So your y-int would be 3. Now we can use this information to craft an equation in the form y=mx+b, m being the slope and b being the y int. We should get y=(3x/2)+3. Now repeat this with the other line to find the equation, but be careful!!! It has a negative slope.
