Question

X 1 2 3 4 у 0 -3 -6 -9
what is the slope intercept form? ​

Answer 1

y = -3x + 3

Explanation:

Knowing that;

Slope Intercept form : y = mx + b

To Find the Slope:

Used any given ordered pair given and use- m =
`(y_2-y_1)/(x_2- x_1)`

• Find the slope of the line
• Then Plug it in the Slope Intercept form

Given Table:

X Y

1 0

2 -3

3 -6

4 -9

Solve:

I will use the ordered pair:

(1,0)

(2, -3)

1 and 2 are "x"

0 and -3 are "y"

• 1 = x₁ 2 = x₂
• 0 = y₁ -3 = y₂

m
`=(-3-0)/(2- 1)`

m
`=(-3)/(1)`

m
`=` -3

Now putting the value of m in equation

y = -3x + b

To find the y intercept (b) in the slope intercept formula:

Choose any ordered pair and substitute it in the slope intercept.

Let's choose the first point, (1,0) for calculating y-intercept.

• y = mx + b
• 0 = -3(1) + b
• 0 = -3 + b
• b = 3

Now plug it in the slope intercept formula:

y = mx + b

y = -3x + 3

Hence, the slope intercept form for that table is:

y = -3x + 3.

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