Question

What is the equation for this line?

Answer 1

Answer:

y = -3x + 8

Step-by-step explanation:

Let's first see the points,

when x = 5

y = (-7)

when x = 4

y = (-5)

when x = 3

y = (-1)

when x = 2

y = 2

when x = 1

y = 5

when x = 0

y = 8

The general formula for a line is,

y = mx + b

Where

m is the steepnes/slope of the line and b is the y-intercept.

Now,

To find m, we need two points in this line,

Let's say

x = 0, y = 8

x = 5, y = -7

Now,

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

Let x1 = 0, x2 = 5

y1 = 8 and y2 = -7

So,

m = (-7 - 8)/(5 + 0)

m = (-15/5)

m = (-3)

Now,

y = -3x + b

So,

To find b, let's just substitute a point,

(2, 2) for example.

2 = -3(2) + b

2 = b - 6

b = 6 + 2

b = 8

OR

(1, 5)

5 = -3(1) + b

5 = b - 3

b = 5 + 3

b = 8

Hence, we get the equation of the line as

y = -3x + 8

Hope it helped and believing you understood it........All the best