The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = (x – 1). What is the slope-intercept form of the equation for this line?

Respuesta :

You find the slope-intercept form by simplifying the point-slope equation. 
Slope-intercept formula: y = mx + b where m = slope and b = y-intercept
Observe. 

y - 3 = 1(x - 1) 
y - 3 = x - 1
   +3        + 3
y = x + 2 <----------------SI form = Answer
  

Answer:

[tex]y = x +2[/tex]

Step-by-step explanation:

Given : The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3)

To Find: What is the slope-intercept form of the equation for this line?

Solution:

Slope intercept form : [tex]y=mx+c[/tex]

Now we have to convert the given equation in this form.

[tex]y - 3 = (x - 1)[/tex]

[tex]y = (x - 1)+3[/tex]

[tex]y = (x - 1)+3[/tex]

[tex]y = x +2[/tex]

On comparing with general form m = 1

So, the slope-intercept form of the equation for this line is [tex]y = x +2[/tex]