Question

How do I do this question?

Answer 1

Answer: y = -1/4
`x` + 2

Explanation:

The equation of any line is y = mx + c, where:

m = gradient of the line

c = y-intercept (the point where the line goes through the y-axis)

So, to make this line into an equation, we first find the gradient. To calculate the gradient, we have to find the
`(rise)/(run)` .To do this, we take 2 points from the line that are whole numbers and put it into this equation. So, we can take (0,2) & (4,1). Since we have this, we can sort of draw an imaginary triangle. Now we find the rise, which is 1, and the run, which is 4. So we know the gradient is
`(1)/(4)`, but since its a line going downwards, it will have a negative gradient meaning it is
`-(1)/(4)` .

For the y-intercept, we can see that the line intercepts/crosses the y-axis at (0,2), so the y-intercept is 2. So we have the equation:

`y = - (1)/(4)x + 2`

Answer 2

y=-1/4x+2

Explanation:

y=mx+c

1st point : (-4,3)

2nd point : (4,1)

m= rise/run

= 3-1/-4-4

= 2/-8

= -1/4

y=-1/4x+2