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allsm [11]
3 years ago
11

If a graph shows the function y=3x what are the coordinates of the intercepts

Mathematics
1 answer:
vladimir2022 [97]3 years ago
3 0

Answer:

graph{3x+5 [-10, 10, -5, 5]}

x

intercept:  

x

=

−

5

3

 

y

intercept:  

y

=

5

Explanation:

For a linear graph, the quickest way to sketch the function is to determine the  

x

and  

y

intercepts and draw a line between the two: this line is our graph.

Let's calculate the  

y

intercept first:

With any function,  

y

intercepts where  

x

=

0

.

Therefore, substituting  

x

=

0

into the equation, we get:

y

=

3

⋅

0

+

5

y

=

5

Therefore, the  

y

intercept cuts through the point (0,5)

Let's calculate the  

x

intercept next:

Recall that with any function:  

y

intercepts where  

x

=

0

.

The opposite is also true: with any function  

x

intercepts where  

y

=

0

.

If we substitute  

y

=

0

, we get:

0

=

3

x

+

5

Let's now rearrange and solve for  

x

to calculate the  

x

intercept.

−

5

=

3

x

 

−

5

3

=

x

Therefore, the  

x

intercept cuts through the point  

(

−

5

3

,

0

)

.

Now we have both the  

x

and  

y

intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them

The graph of the function  

y

=

3

x

+

5

:

graph{3x+5 [-10, 10, -5, 5]}



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valina [46]

Answer:

m = -2/7

Step-by-step explanation:

We can find the slope when given two  points by using

m = (y2-y1)/(x2-x1)

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5 0
3 years ago
Is 3x-5+y=2y-4 linear if so write the equation in standard form and give the values of A B and C
ruslelena [56]
Equation in standard form:
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We have:
3x-5+y=2y-4
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Therefore:
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B=-1
C=1

Answer: the equation in standard form would be: 3x-y=1; and the values of A, B and C would be: A=3; B=-1 and C=1.
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olganol [36]

Answer:

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Step-by-step explanation:

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4x = 11

Divide 4 on both sides

x = 11/4

x = 2.75

Round to nearest tenth

x is about 2.8

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7 0
3 years ago
Read 2 more answers
A box contains 146 marbles which are either red or blue. there are 28 more blue marbles than red marbles. how many blue marbles
rusak2 [61]
R + b = 146.  Supposing that b=r+28, 

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3 years ago
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