Respuesta :

wegnerkolmp2741o

Answer:

y+2 = 3/4(x+4)

or with the other point

y-4 = 3/4 (x-4)

Step-by-step explanation:

We can find the slope of the line since we have 2 points

A(-4,-2) and E(4,4)

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

    = (4--2)/(4--4)

   = (4+2)/(4+4)

   =6/8

   = 3/4

Then we can use point slope form

y-y1 = m(x-x1)

y--2 = 3/4 (x--4)

y+2 = 3/4(x+4)

or with the other point

y-4 = 3/4 (x-4)

isyllus

Answer:

Point-slope form:  [tex]y-4=\dfrac{3}{4}(x-4)[/tex]

Step-by-step explanation:

We are given some points on coordinate plane.

We need to find the equation of line in point slope form which passes through A and E

First we write the coordinate of point A and Point E

Point A: (-4,-2)

Point E:  (4,4)

Formula:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-4=\dfrac{-2-4}{-4-4}(x-4)[/tex]

[tex]y-4=\dfrac{3}{4}(x-4)[/tex]

where,

[tex]slope=\dfrac{3}{4}[/tex]

Hence, The slope point form of line is [tex]y-4=\dfrac{3}{4}(x-4)[/tex]

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