What is the equation of this graphed line?

In slope-inteecept form the equation of a line is:

y = mx + b

...where b represents the y-intercept and m represents the slope

In this problem, the y-intercept is 7 because you can see that the line intersects the y-axis at the coordinate (0, 7).

The slope is negative because the line is going down when being read from left to right. Two ways you can find the slope of the line is by calculating the rise/run of the line (how many units the line goes up/down by how many units the line goes to the right).

You can also find the slope using the equation :

m = y2 - y1 / x2 - x1

Substitute the coordinates (the order doesn't matter as long as the coordinates correspond).

m = -2 - 7 / 8 - 0

m = -9 / 8

The slope is -9/8.

Combine the information you now know into the line's equation.

Solution: y = - 9/8x + 7