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Anton [14]
3 years ago
14

Determine the intercepts of the line. y = 5 x − 1 3 y=5x−13

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0
Y-intercept = -13
x-intercept = 2.6 or 2 3/5
-13 is the y-intercept. In the equation, y=mx+b, b is the y-intercept. Looking at the equation, y=5x-13, we can see that -13 is in the place of b, therefore -13 is the y-intercept.
() is the x-intercept. To find the x-intercept, you need to replace values into the equation. Since the coordinates for the x-intercept consist of y being 0, you must replace y in the equation. with 0.
0=5x-13
Get rid of the -13 by adding it onto both sides. -13 is negative and the opposite of a negative is positive, thus making you add to get rid of -13.
0=5x-13
+13 +13
13=5x
Now you divide 5 from both sides to get rid of 5. The opposite of multiplication is division, so you must divide the 5 from 5x to isolate the x.
13/5=5x/5
2.6 or 2 3/5=x
Therefore the coordinates (2.6,0) represent the x-intercept, or just 2.6.

I hope this helped.
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What is the answer to y=-0.5(0)+2
Korolek [52]
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3 0
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25a^2-30a+9 factor ?
CaHeK987 [17]

Factor 25a2−30a+9

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4 0
3 years ago
-6-5
tankabanditka [31]

The equation of the line that is parallel to the given line and passes through the point (-2,2) is:

y = \frac{x}{5} + \frac{12}{5}

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:

m = (-3 - (-4))/(0 - (-5)) = 1/5.

Hence the equation is:

y = \frac{x}{5} + b

When x = -2, y = 2, then:

y = \frac{x}{5} + b

2 = \frac{-2}{5} + b

b = \frac{12}{5}

Hence:

y = \frac{x}{5} + \frac{12}{5}

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1

7 0
1 year ago
Pleeeeeeeaaaaassssseeeee heeeeeellllllpppppp
loris [4]
I got (-6.28, -0.76). 

Step 1.) Write out the problems
   -2x=8-6y
   -15x=21-6y

Step 2.) Pick a problem and solve for X
   -2x=8-6y =  x=-4-3y

Step 3.) Plug in the x
    (-15)(-4-3y)= 21-6y
    60 + 45y= 21-6y

Step 4.) Solve for y
    y=-0.76

Step 5.) Plug in the y value into one of the equations
    -2x= 8- 6(-0.76)
    -2x= 8 + 4.56
     x= -6.28

Step 6.) Check your answers
    -2(-6.28)=8-6(-0.76)
    12.56=12.56

Step 7.) Write it out
   (-6.28,-0.76)
7 0
3 years ago
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