(2,5) (6,8)
Y2-Y1 divided by X2-X1
8-5=3
———-
6-2=4
so your slope is 3/4
Answer:
m=-3/5
Step-by-step explanation:
Simplifying
3x + 5y = 7
Solving
3x + 5y = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5y' to each side of the equation.
3x + 5y + -5y = 7 + -5y
Combine like terms: 5y + -5y = 0
3x + 0 = 7 + -5y
3x = 7 + -5y
Divide each side by '3'.
x = 2.333333333 + -1.666666667y
Simplifying
x = 2.333333333 + -1.666666667y
The easiest way to find a parallel equation is to write your equation in slope-intercept form. The general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables.
You're given 5x + 10y = -4.
1) Move 5x to the right side by subtracting 5x from both sides:
5x + 10y = -4
10y = -5x - 4
2) Divide both sides by 10 to get y by itself on the left. Simplify:

<span>Remember that for
parallel lines, the slope, m, is the same for both equations. You can make the y-intercept, b, whatever number you want.
When the equation is in slope-intercept form, </span>

, you can see that

.
A parallel equation is in the form:

Plug in anything you want for b. One example is:

-------
Answer:

(just one example)
B. Find the exact number of earnings
1. The 2nd number line represents the inequality.
Explanation:
In words, the inequality reads "negative six is less than x, which is less than or equal to two". On the number line, the open circle at negative six means that -6 is not a solution to the inequality: -6 < x. The point at positive two means that positive two is a solution to the inequality: x ≤ 2. Therefore, all numbers greater than -6 and less than or equal to +2 are solutions to the inequality. This is shown on the second number line.
2. False
Explanation:
In words, the inequality reads "x is less than negative five". This means that all numbers less than -5 are solutions to the inequality. Positive four is not less than negative five, so it is not a solution to the inequality.
3. x > 2
Explanation:
To solve the inequality, we have to move all the terms that do not contain x to one side. This inequality is simple because it only requires one step: subtraction.
Solve for x: x + 3 > 5
1. Subtract 3 from both sides to get x by itself:
x + 3 - 3 > 5 - 3
2. Simplify
x > 2