Question

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?

Answer 1

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 2

`y = x +2`

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 :
`y=mx+c`

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

`y - 3 = (x - 1)`

`y = (x - 1)+3`

`y = (x - 1)+3`

`y = x +2`

On comparing with general form m = 1

So, the slope-intercept form of the equation for this line is
`y = x +2`