Write the equation of the line in standard form 64. contains (-8, 4)
and the midpoint of the
segment connecting
(-10, 5) and (-5, 0). Show your work.

Step-by-step explanation:

Mid point of (-10, 5) and (-5, 0).

Other point (-8, 4).

To find:

Equation of line in standard form that connect the mid point and other point.

Solution:

Mid point formula is given as:

Now, the two points are: (-7.5, 2.5) and (-8, 4)

Slope intercept form of line is given as:

So, the equation of line is:

Putting (-8, 4) to find c:

Equation of line:

In standard form:

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)