Answer:
[tex]y = - \frac{2}{5} + 1 \frac{2}{5} [/tex]
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept
To find the gradient, use the gradient formula below.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
[tex]m = \frac{3 - ( - 1)}{ - 4 - 6} \\ m = \frac{4}{ - 10} \\ m = - \frac{2}{5} [/tex]
[tex]y = - \frac{2}{5} x + c[/tex]
To find c, substitute a coordinate.
when x=6, y= -1,
-1= -⅖(6) +c
[tex]c = -1 + \frac{12}{5} \\ c = 1 \frac{2}{5} [/tex]
Thus, the equation of the line is
[tex]y = - \frac{2}{5} x + 1 \frac{2}{5} [/tex]
