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.

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

Step-by-step 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

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3