Question

Find the equation of the line
use exact number
y= x+
​

Answer 1

`y=(-1)/(3)x+5`

Answers being -1/3 and 5

Explanation:

In slope-intercept form, you seem to be missing your slope and intercept. Luckily, the graph has everything you need.

Recall slope is rise over run or y over x.

`m=(y2-y1)/(x2-x1)`

The slope of this line can be determined by counting the x and y movements of the line between two intersections where it evenly collides. For instance, between (0,5) and (3,4), the line moves right three and down one.

This would give you a slope of -1/3.

Another way to find the slope is to choose any two points and use the slope formula above. Using those same two points:

`m=(4-5)/(3-0)`

`m=(-1)/(3)`

Now you have the first part of your answer. The slope is -1/3.

The second part is the y coordinate of the y-intercept. In this case, the graph includes the intercept, which we can clearly determine is (0,5). Therefore, your second answer would be 5.

The full answer being
`y=(-1)/(3)x+5`.