Question

Write the equation in fully simplified slope intercept form​

Answer 1

Answer:

$y = - \frac{1}{5} x - 1$

Step-by-step explanation:

Choose any 2 points on the line indicated by dots. I'll choose (5,-2) and (10,-3)

work out the gradient between these two points.

equation:

$\frac{change \: in \: y}{change \: in\: x} = gradient$

$\frac{ - 3 - ( - 2)}{10 - 5} = - \frac{1}{5}$

the gradient is -1/5

the equation we need to write it in is y=mx+c. use one of the two coordinates chosen. I'll use (5,-2). y is -2, m is the gradient which is -1/5 and x is 5.

working out c:

$y = mx + c$

$- 2 = - \frac{1}{5} (5) + c$

$- 2 = - 1 + c$

add one to both sides.

C is -1

we now have c and the gradient, so the equation is

$y = - \frac{1}{5} x - 1$