Answer:
y = - 2x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute (- 6, 2) into the partial equation
2 = 12 + c ⇒ c = 2 - 12 = - 10
y = - 2x - 10 ← equation of line
Answer:
$7.5 plus $65 per hour
Step-by-step explanation:
We are trying to find the minimum she can make in one day. The minimum amount of hours she can work is 1, so find y when x=1:
y=7.5x+65
y=7.5(1)+65
y=7.5+65
Here's a graph of those terms.
Answer:
x= 5
Step-by-step explanation:
both lines are the same length
5x-6=2x+9
-2x -2x
3x-6= +9
+6 +6
3x = 15
÷3 ÷3
x= 5
Answer: 
Step-by-step explanation:
1. Substitute 
into first equation and solve for "x" in order to find the x-intercept of the first line:
2. Substitute 
into the first equation and solve for "y" in order to find the y-intercept of the first line:
Knowing that first line passes through the points 
and 
, you can graph it.
3. Substitute into second equation and solve for "x" in order to find the x-intercept:
4. Substitute into the second equation and solve for "y" in order to find the y-intercept of the second line:
Knowing that second line passes through the points 
and 
, you can graph it.
The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:
