Question

What is the equation of a line passing through (-3, 7) and having a slope of - 1/5
y = -5x + 22
y = 5x + 22

Answer 1

https://cdn.ple.platoweb.com/EdAssets/d394c7a38e544ca182741eac8a54d361?ts=635380317070000000

Answer 2

https://cdn.ple.platoweb.com/EdAssets/3f5e17218a2b4e8fbed61a5d75bae801?ts=635380317071400000

Answer 3

https://cdn.ple.platoweb.com/EdAssets/f552d6608fef47bf8918ea783717d7a4?ts=635380317072800000

Answer 4

First of all, remember what the equation of a line is:

y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was -1/5. So you can right away fill in the equation for a line somewhat to read:
y=-1/5x+b.

Answer 5

To find the y intercept (b)
We need to plug in the points
\[\huge~\rm~ 7=-1/5x-3+b\]
isolate b

Answer 6

Or you can solve for b like this:
b=7-(-1/5)(-3)