Question

Anyone? please i need help

Answer 1

`y= 5x-7`

Step-by-step explanation:

Using slope-intercept form:

The equation of line is given by:

`y=mx+b` .....[1]

where,

m is the slope of the line

b is the y-intercept.

As per the statement:

The points (3, 8) and (2, 3) fall on a particular line.

Using slope(m) formula:

`m = (y_2-y_1)/(x_2-x_1)`

Substitute the given points we have;

`m = (3-8)/(2-3)=(-5)/(-1)=5`

⇒m = 5

Put m = 5 in [1] we have;

`y=5x+b`

Substitute the point (3, 8) we have;

8 = 5(3)+b

8 = 15+b

Subtract 15 from both sides we have;

`-7 = b`

or

b = -7

Then we have;

`y= 5x-7`

Therefore, the equation of line in slope intercept form is,
`y= 5x-7`

Answer 2

Answer:
y = 5x - 7

Step-by-step explanation:
The general form of the linear line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept

1- getting the slope:
The slope of the line can be calculated using the following formula:
m =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

We are given the points:
(3,8) representing (x₁,y₁)
(2,3) representing (x₂,y₂)
Substitute with the givens in the above equation to get the slope as follows:
m =
`(3-8)/(2-3)` = 5

Therefore, the equation now became:
y = 5x + c

2- getting the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7

Based on the above, the equation of the line is:
y = 5x - 7

Hope this helps :)