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21 votes
What are the slope and the y-intercept of the linear function that is represented by the table?

х
3
4
у
1
30
NIE
에 <
2
23
15
1
4
13
30
CON
3
5
1
The slope is
2
5
and the y-intercept is -
1
2
The slope is, and the y-intercept is 5.

What are the slope and the y-intercept of the linear function that is represented-example-1

2 Answers

11 votes

Answer:

A

Explanation:

The slope is -2/5, and the y-intercept is -1/3.

User Grumme
by
5.4k points
13 votes

Answer:

Slope is -2/5 and y-intercept is -1/3

Explanation:

To get the slope, we pick any two points and apply the slope formula

The slope formula is;

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

To get the slope, we select any two points

That will be;

(-3/4, -1/30) and (1/4,-13/30)

Substituting these in the slope formula, we have:

m = (-13/30 + 1/30)/(1/4 + 3/4)

m = 12/30 = -2/5

Generally, the equation of a straight line is;

y = mx + b

m is slope and b is the y-intercept

We already have the slope, to get the y-intercept, we select any of the points

-3/5 = -2/5(2/3) + b

= -3/5 + 4/15 = b

b = (-9 + 4)/15 = -5/15 = -1/3

Slope is -2/5 and y-intercept is -1/3

User Fansonly
by
5.0k points
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