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
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]