Answer:

Step-by-step explanation:
Given that ∆KLM ~ ∆RSK,
(similarity theorem)
KL = 65
KR = 65 - 52 = 13
KM = 60
KS = ?

Cross multiply




The first thing I would probably do is distribute (multiply) the -5/2 into the parenthesis:
= (-5/2)x + (-20/2)
Notice how I am not putting the x into the fraction. This is to make it easier to see the slope-intercept form.
Lets simplify the (-20/2) and then add 7 to both sides:
y - 7 = (-5/2)x - 10
y = (-5/2)x - 3
Your answer would then be:
y = (-5/2)x - 3
y = mx + b
Since it is now in the requested format.
For functions, it's solutions.
Answer:
y =
x + 6 or y =
x - 0.375
Step-by-step explanation:
For 2 lines to be perpendicular, their slopes must be <u>negative reciprocals</u>. In order to find the perpendicular of y - 4x - 6 = 0:
SLOPE INTERCEPT FORM: y = 4x + 6
SLOPE OF LINE A: m=4
SLOPE OF LINE B (the one you are looking for): m=
Since I don't know if you meant that they intercept on the x or y axis I will do both.
<u>y-axis</u>
y-6=
(x-0)
y =
x+6
<u>x-axis</u>
y-0=
(x-1.5)
y=
x-0.375