What is the correct equation for the line in slope-intercept form?

y=-5x+35

Step-by-step explanation:

The equation for a line in slope intercept form is y=mx+b, where m is the slope of the line and b is the y intercept, or where the line meets the y axis.

First, we should calculate the slope of the line. The slope of any line is rise over run. We can select any two points- I will select (6,5) and (4, 15).

We see that the rise is 10 units, because 15-5=10, and the run is -2 units, because 4-6=-2. We have rise over run which is 10/-2, or -5.

So, we find that the m value is equal to -5.

The y intercept is easier to find, it is just where the line meets the y axis. The lines meets the y axis at the point (0,35) so the y intercept is 35.

Thus we have the equation of the line is y=-5x+35.

Hope this helps!