Answer:
Step-by-step explanation
(-y-y1)/(x-x1)= m
y-(-10)/(x-2)= -3
y= -3x -4
Answer:
[tex]y+10=-3(x-2)[/tex]
Step-by-step explanation:
First we must know the format of point-slope form.
This would be: [tex]y-y1 = m (x-x1)[/tex]
Given x = 2, y = -10, and that our slope MUST be -3
Lets solve for "b" in the slope-intercept form using the variables provided to us. Remember that slope-intercept form is: [tex]y=mx+b[/tex] where "m" is the slope.
-10 = -3(2) + b
-10 = -6 + b
-4 = b
Congrats! We now have our b variable, which means we can write out our slope-intercept form for our equation. This would be: [tex]y=-3x-4[/tex]
We aren't done though, we now must convert this into point-slope form! Remember that x = 2 and y = -10
Lets plug in -3 for the "m" spot, -10 for the "y1" spot, and 2 for the "x1" spot in the point-slope equation.
[tex]y+10=-3(x-2)[/tex]
(Why are we adding 10 instead of subtracting you might ask? Remeber that two negatives equal a positive; when we plugged in -10 into the "y1" spot it was already negative, it would essentially be this: [tex]y - (-10)[/tex] which turns into a positive!)
Huzzah! We now have our equation in point-slope form which is equivalent to: [tex]y=-3x-4[/tex]
Feel free to check on the Desmos graphing calculator if you wish!
If you have any questions feel free to ask! Hope this helped!
