Answer:
2/3
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (12-8)/(4 - -2)
(12-8)/(4+2)
4/6
2/3
Answer:
(5,-5)
Step-by-step explanation:
<u>Eliminate</u><u> </u><u>y-term</u>

We can eliminate x-term but for this system of equations, eliminating y-term is faster.
<u>Substitute</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u> </u><u>in</u><u> </u><u>any</u><u> </u><u>given</u><u> </u><u>equations</u><u>.</u>
I will choose to substitute in the first equation.

<u>Answer</u><u> </u><u>Check</u>
Substitute both x-value and y-value in any given equations

The equation is true. (<em>It</em><em> </em><em>is</em><em> </em><em>better</em><em> </em><em>to</em><em> </em><em>check</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>for</em><em> </em><em>both</em><em> </em>equation.)
Thus the answer is (5,-5)
Larger Number: L
Smaller Number: L-9
Larger Number + Smaller Number = 45
L + L - 9 = 45
2L = 54
L = 54/2
L = 27
Smaller Number = L - 9
27 - 9 = 18
Check. .. 27 + 18 = 45. CORRECT!
Larger Number is 27
Smaller Number is 18
Answer:
The point (-4,5) is on the line
Step-by-step explanation:
You can replace the x and y values to determine if it is a true statement
First Statement
5= 2(-4)+13 -> 5= -8+13 -> 5=5 true
Second Statement
-4=2(5)+13 -> -4= 10+13 -> -4 ≠ 23 false
You can automatically eliminate the next two answers because you already found that the first statement is true and because you can find points using an equation.