Answer:

Step-by-step explanation:
Use the slope-intercept formula:
where m is slope and b the y-intercept.

Use the slope formula for when you have two points:

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

Simplify parentheses (negative+negative=positive)

Simplify

2 is the slope:

Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:
(4,7)


The y-intercept is -1. Insert into the equation. Change the + symbol to -:

Done.

The multiple zero is x = -4.
The multiplicity is 2 because there are two values of x.
Answer:
3
Step-by-step explanation:
(2x +1)/8 - (x-1)/3 = 5/24
multiple the 2x+1/8 by 3 and multiple (x-1)/3 by 8 then add them up
6x+3/24 - 8x-8/24 ➡ 6x-8x+11/24 = 5/24
➡ -2x+11 = 5
➡ -2x = 5-11
➡ x = 3
Answer:
no solution
Step-by-step explanation:
+12y and -12y cancel each other out.
we are left with 43+41=8+56
84 doesn't equal 64
so NO SOLUTION
A consistent system has at least 1 solution, it could have more.
a consistent system that has exactly 1 solution, is an independent system.
a consistent system that has infinitely many solutions, namely, both equations are really the same equation in disguise, is a dependent system.