Answer:
[tex]y=-\frac{1}{5} x-1[/tex]
Step-by-step explanation:
Hi! Welcome to brainly!
So slope intercept form - y = mx + b
where m = slope and b = y intercept
First lets find the y intercept
The y intercept is at (0,-1)
B would equal the y value of the y intercept so b = -1
now lets find the slope
To do so we can pick 2 points on the line and use the slope formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
the points can vary but i chose the points (5,-2) and (10,-3)
having found the points we plug them into the formula
[tex]m = \frac{-3-(-2)}{10-5} \\-3-(-2)=-1\\10-5=5\\m=-\frac{1}{5}[/tex]
now that we have found all of the information we plug the values into the equation and get that the answer is
[tex]y=-\frac{1}{5} x-1[/tex]
