thenetterfortnitepla thenetterfortnitepla
  • 02-03-2020
  • Mathematics
contestada

I need the slope intercept form please help and I need tho show the work

I need the slope intercept form please help and I need tho show the work class=

Respuesta :

shilpa85475 shilpa85475
  • 10-03-2020

The slope-intercept form is [tex]y=\frac{1}{2} x+5[/tex].

Solution:

Given data:

Slope of the line, m = [tex]\frac{1}{2}[/tex].

Point on the line = (–2, 4)

Here [tex]x_1=-2, y_1=4[/tex]

Let us find the slope-intercept form of the line using point-slope formula.

Point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]$y-4=\frac{1}{2} (x-(-2))[/tex]

[tex]$y-4=\frac{1}{2} (x+2)[/tex]

[tex]$y-4=\frac{1}{2} x+1[/tex]

Add 4 on both sides of the equation.

[tex]$y=\frac{1}{2} x+5[/tex]

Hence the slope-intercept form is [tex]y=\frac{1}{2} x+5[/tex].

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