Question

Find the equation of the line in the picture

(if you go full screen on the image it is easier to see)

y= ?
x+ ?

Answer 1

y=x-5

Explanation:

y=mx+c

in this case y=___x+____

c is the y-intercept

the y intercept is -5

y=___x+-5 which is y=___x-5

m is the gradient

you find the gradient by (The difference in height ÷ The difference in width)

the difference in height is 1

the difference in width is 1

1/1=1

y=1x-5 which is the same as y=x-5

Answer 2

y=x-5

Explanation:

the equation of a line is in y=mx+b form

m is the slope, which in this case is one so you dont need to put a 1 in front of the x

b is the y-intercept, or where the line crosses the y-axis. in this case, it is -5