Answer:
y = 3x+.5
Step-by-step explanation:
We know the y intercept (the value when x=0) is .5
We can find the slope from 2 points
(0,.5) and (1,3.5)
m = (y2-y1)/ (x2-x1)
= (3.5-.5)/(1-0)
= 3/1
= 3
We can use y = mx+b since we know the slope and the y intercept
y = 3x+.5
Perpendicular lines have slopes that are negative reciprocals of one another.
Since the slope mentioned is -6/5 it’s negative reciprocal would be +5/6.
the problem tells us it’s y-intercept is 3
slope intercept form of an equation is:
y = mx + b (where m = slope and b = y-intercept)
plugging our two knowns in, m and b, we get the equation of the perpendicular line:
y = 5/6x + 3
I hope this helps and is the BRAINLIEST!
Great luck with your studies :)
