Answer:
y=-2x+5
Explanation:
1. The slope-intercept form is written as y=mx+b. To write the equation of the line we have to find 'm' (the gradient of the line) and 'b' (the y-intercept of the line).
2. To find 'm', choose an arbitrary domain, which in this case can be from x=0 to x=2.
3. Now use rise/run (change in y-values/change in x-values) to find out the gradient:
Rise = 5-1 = 4
Run = 2-0 = 2
m = 4/2 = 2
However, since the line is sloping down, the subsequent gradient is negative, therefore m=-2.
4. To find the final value 'b', we just need to find the y-value of the line and we can do this by simply looking at the graph. Thus, b=5.
5. Now to construct the equation, we simply have to substitute the values m=-2 and b=5 into y=mx+b.
6. When you put in the values the final equation will be:
y=-2x+5
Hope this helps!