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Alex Ar [27]
3 years ago
13

Find the equation of this line.

Mathematics
1 answer:
Tatiana [17]3 years ago
7 0

9514 1404 393

Answer:

  y = 1/2x + 1

Step-by-step explanation:

The slope of the line is "rise"/"run", where "rise" is the vertical distance between two points separated by a horizontal distance of "run".

Here, two points are marked that are 4 units apart horizontally (run = 4). The right-most point is 2 units above the left-most point (rise = 2). The slope between these points is ...

  m = rise/run = 2/4 = 1/2

The line crosses the y-axis at y=1, so the "y-intercept" is b=1.

These values can be put into the "slope-intercept form" equation for a line.

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 1/2x + 1 . . . . . matches the required answer form

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Writing Equations of lines
Verdich [7]

Answer:

y = -5/3x+8

Step-by-step explanation:

Equation: y=mx+b

You find the slope (m) by calculating the distance between the two points. For the y axis, 3 is -5 away from 8. For the x axis, 3 is 3 away from 0. You then devide y by x, which gives you -5/3.

To get the y intercept (b), you just look at the graph, where it's at 8.

God luck!

8 0
3 years ago
Read 2 more answers
I do not know how to do this.
Nonamiya [84]

Answer:

Step-by-step explanation:

(a) Option B cost less at 120 miles driven

The cost difference at 120 miles between option A and option B is $15

(b) Option A and B cost the same at driving 60 miles.

Option B would cost more if you drive less than 60 miles.

6 0
2 years ago
Consider this system of linear equations:
Ilia_Sergeevich [38]
    -x + y = -13 → -3x + 3y = -39
-4x + 3y = -51 → -4x + 3y = -51
                                       x = 12
                                -x + y = -13
                           -(12) + y = -13
                             -12 + y = -13
                           + 12        + 12
                                      y = -1
                                (x, y) = (12, -1)
3 0
3 years ago
Consider two boxes, one containing one black and one white marble, the other, two black and one white marble. A box is selected
valina [46]

Answer:

\frac{7}{12}

Step-by-step explanation:

Probability refers to chance of happening of some event.

Conditional probability is the probability of an event A, given that another event B has already occurred.

B_1,B_2 denote the two boxes.

In box B_1:

No. of black balls = 1

No. of white balls = 1

In box B_2:

No. of black balls = 2

No. of white balls = 1

Let B, W denote black and white marble.

So, probability that either of the boxes B_1,B_2 is chosen is \frac{1}{2}

Probability that a black ball is chosen from box B_1 = \frac{1}{2}

Probability that a black ball is chosen from box B_2=\frac{2}{3}

To find:probability that the marble is black

Solution:

Probability that the marble is black = \frac{1}{2}(\frac{1}{2} )+\frac{1}{2}(\frac{2}{3})=\frac{1}{4}+\frac{1}{3}=\frac{7}{12}

6 0
3 years ago
Simplify 6(5+4)<br> A. 9<br> B. 34<br> C. 54<br> D.69
kykrilka [37]

You have to perform operations inside parenthesis first:

6(5+4)=6\cdot 9

And finally,

6\cdot 9 = 54

8 0
3 years ago
Read 2 more answers
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