The slope-intercept form for the line is y = 1/3 x -5/3. and the option D is correct option.
According to the statement
we have given that the points (−4,1) and (2,3) and we have to find the slope-intercept form.
And we have to find the equation of line.
So, For this purpose,
The given points are:
(−4,1) and (2,3)
And the slope m become
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
So, put the values in it
then m= 3-1 / 2+4
m = 1/3
And and b point becomes (2+3) / (−4+1)
Then B = -5/3
Then the general equation of slope intercept form is y = mx +b
Then
y = 1/3 x -5/3.
So, The option D is correct and the slope-intercept form for the line is y = 1/3 x -5/3.
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