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irakobra [83]
3 years ago
7

The graph below shows a line segment PQ: graph of line PQ going through ordered pairs negative 1, 3 and 2, negative 3 Which of t

he following equations best represents the line segment PQ?A: y = −3x + 2B: y = −2x + 1C: y = −3x − 2D: y = −2x − 1
Mathematics
2 answers:
Harrizon [31]3 years ago
5 0
You actually don't need a graph to be able to solve this equation. As long as you are given two data points, you can already solve for the linear equation.

The most common way of writing linear equations is the slope-intercept form:
y = mx + b, where m is the slope and b is the y-intercept.

The slope is the ratio of the change of y to the change of x coordinates. Let's say point 1 is (-1,3) and point 2 is (2,-3). Then,

m = (-3-3)/(2-⁻1) = -2

Next, we use any of the given point to the standard equation along with the m to find b. Let's use (-1,3)

3 = -2(-1)+b
b = 1

Thus, the complete linear equation is y = -2x + 1. The answer is B.
vivado [14]3 years ago
3 0

Answer:

y = -2x + 1. The answer is B.

Step-by-step explanation:

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Eliza is two years younger than half her bro Juan age write an equation to represent Eliza’s age ; if Juan is 6 how old is Eliza
cricket20 [7]

Answer:

Eliza is 1

Step-by-step explanation:

If Eliza is 2 years younger than 1/2 her brothers age and Juan is 6.

  • - divide 6 by 2 (6÷2=3)
  • - Take 3 away from 2 ( 3-2=1)

So that means Eliza would be 1

6 0
2 years ago
Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable.
Kruka [31]

Answer:

x = 12

Step-by-step explanation:

sqrt(x+4) - 3 = 1

First get the sqrt all by itself on one side of the equation. Add 3 to both sides of the equation.

sqrt(x+4) = 1 + 3

sqrt(x+4) = 4

To "fix" the sqrt, that is, "undo it" and get rid of it, you have to SQUARE both sides of the equation.

(sqrt(x+4))^2 = 4^2

x + 4 = 16

subtract 4 to finish up.

x = 12

Check:

sqrt(12 + 4) - 3 = 1

sqrt16 - 3 = 1

4 - 3 = 1

1 = 1 Check!

6 0
1 year ago
Solve using the substitution and elimination method 3a-12b=9 4a-5b=3 can someone please help?
Veronika [31]
3a-12b=9 => a = 4b + 3; but, <span>4a-5b=3 => 4(4b + 3) -5b = 3 => 11b = -9 => b = -9/11 => a = -36/11 + 3 = -3/11;</span>
7 0
3 years ago
Read 2 more answers
Item 3
Makovka662 [10]
I don’t understand the question
3 0
3 years ago
Read 2 more answers
How do the graph of the line and the equation of the line in the previous item change if the y-intercept is moved down 3 units?
Paul [167]

Answer:

To graph the equation of a line written in slope-intercept (y=mx+b) form, start by plotting the y-intercept, which is the b value. The y-intercept is where the line will cross the y-axis, so count up or down on the y-axis the number of units indicated by the b value.

7 0
3 years ago
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