Question

What is the equation of the blue line?

Answer 1

Answer:

$y = \frac{1}{2}x + 2$

Step-by-step explanation:

4=4m+q

3=2m+q

1=2m

m=1/2 → q=2

Answer 2

Answer:

y = (1/2)x + 2

Step-by-step explanation:

it is a straight line so it will be in the form of y = mx + c

m = gradient, c = y intercept

Reading from graph it cuts the y-axis at 2,

so c = 2

to find gradient we can pick any 2 points on the line,

e.g (0,2) and (10,7)

gradient = (y1 - y2) / (x1 - x2) = (7 - 2) / (10 - 0)

= 1/2

so the equation is y = (1/2)x + 2