Answer:
[tex]y = - \frac{6}{5} x - 3[/tex]
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the gradient and c is the y-intercept.
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
[tex]m = \frac{3 - ( - 3)}{ - 5 - 0} [/tex]
[tex]m = \frac{3 + 3}{ - 5} [/tex]
[tex]m = - \frac{6}{5} [/tex]
Substitute the value of m into the equation:
[tex]y = - \frac{6}{5} x + c[/tex]
To find the value of c, substitute a pair of coordinates.
When x= 0, y= -3,
[tex] - 3 = - \frac{6}{5} (0) + c[/tex]
c= -3
Thus, the equation of the line is [tex]y = - \frac{6}{5} x - 3[/tex].
