Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively
.
<u>Answer:</u>
The denominator of a fraction is 4 more than the numerator. The original fraction is 
<u>Solution:</u>
Given that
Denominator of fraction is 4 more than the numerator.
Let’s say numerator of fraction be represented by variable x.
So denominator of a faction as it is four more that numerator will be x + 4
Also given if both decreased by three than simplified result is 
Solving above equation for x
=> 7(x – 3 ) = 6 ( x + 1 )
=> 7x – 21 = 6x + 6
=> 7x – 6x = 6 + 21
=> x = 27
Numerator of fraction = x = 27
Denominator of fraction = x + 4 = 27 + 4 = 31
Hence the original fraction is
Look at the slope in each equation. A neg. slope indicates that the function is decreasing. A pos. slope: increasing.
Answer:
41/100
Step-by-step explanation:
