2. Find the equation of a line
a) With a slope of 4, passing through the origiin

Step-by-step explanation:

Equation of the line

A line can be expressed in many forms.

The equation of the line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

The point-slope form of the equation of a line is:

y-k=m(x-h)

Where m is the slope and (h,k) is a point through which the line passes.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

We are required to find a line with slope m=4 passing through the origin (0,0).

Using the point-slope form:

y-0=4(x-0)

Simplifying

answer:

step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)