Hey there!!
Parallel lines have the same slope. If they have different slope, then they are not parallel because both lines would combine at some point.
The y-intercept form:
<em>y = mx + b </em>
<u>In this equation, 'm' is considered to be the slope. </u>
The equation we have is 6y = -2x + 4
First, let's divide all the sides with 6 to isolate the value of 'y'.
... 6y = -2x + 4
... y = -1/3x + 2/3
<u><em>The slope is -1/3... </em></u>
<u><em>... hence the slope in the other equation should be -1/3. </em></u>
Equation we got...
... 2y = ax - 5
Let's divide by 2 on both sides...
... y = ax/2 - 5
The slope in this a/2
<u><em>Hence, ... </em></u>
<u><em>... a/2 = -1/3 </em></u>
<u><em>... 3a = -2 </em></u>
<u><em>... a = -2/3 </em></u>
<h2><u><em>
Hence, the value of a is -2/3. </em></u></h2><h3><u><em>
Hope my answer helps!</em></u></h3>
W(-4,7); X(-2,1); Y(2,1); Z(4,4)
Remaining shirts to be ironed = 1 - 1/4 = 3/4
Fraction of shirts Lenox will iron each day = (3/4)/5 = 3/20
No of shirts to be ironed on thursday and friday = 2(3/20 x 40) = 3 x 6 = 18.
Divide known populations:
1028 / 925 = 1.11135
so exponential formula would be 925*1.11135^t
using 15 years: 925 * 1.11135^15 = 4507
linear model: 103(15) +925 = 2470
4507 - 2470 = 2037 more people using exponential
If you wanted a step by step:
6 = t in this case so simply plug in 6 to the equation and get 6 + 2 + 3, after adding you’ll have 11.
Answer: h(6) = 11