Answer: The correct option is B.
Explanation:
The line passing through the point (4,-1) and (-3,4).
The slope of the line is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-(-1)}{-3-4}= \frac{4+1}{-7} =-\frac{5}{7}[/tex]
The point-slope form for the line that passes through two points is,
[tex]y-y_1=m (x-x_1)[/tex]
Where m is the slope.
The point is (4,-1), So the point slope form is,
[tex]y+1=-\frac{5}{7}(x-4)[/tex]
And the second point is (-3,4), So the point slope form is,
[tex]y-4=-\frac{5}{7}(x+3)[/tex]
This equation is same as equation in option B, therefore option B is correct.
