Answer:
?= 3
Step-by-step explanation:
let x = ？
18-2x=4x
6x=18x
x=3
Answer:
3 hours
Step-by-step explanation:
135/45=3
Answer:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "c" is the y-intercept.
By definition:
1. If the lines of the System of equations are parallel (whrn they have the same slope), the system has No solutions.
2. If the they are the same exact line, the System of equations has Infinite solutions.
(A) Let's solve for "y" from the first equation:
You can notice that:
In order make that the System has No solutions, the slopes must be the same, but the y-intercept must not. Then, the values of "a" and "b" can be:
Substituting those values into the second equation and solving for "y", you get:
You can idenfity that:
Therefore, they are parallel.
(B) In order make that the System has Infinite solutions, the slopes and the y-intercepts of both equations must be the same. Then, the values of "a" and "b" can be:
If you substitute those values into the second equation and then you solve for "y", you get:
You can identify that:
Therefore, they are the same line.
Yo sup??
4x+5y=-9
y=(-4x)/5-9/5
we see that this is of the form y=mx+c
where m is the slope
therefore the slope of the line is -4/5
To find y intercept, put x=0
y=-4*0/5-9/5
y=-9/5
Therefore y intercept is -9/5
Hope this helps.
Answer:
f(x) = 0.2x - 4 (incorrect)
f(x) = 0.5x + 2 (correct)
f(x) = 1/2x + 2 (correct)
y – 3 = 1/2(x – 2)
(correct)
y – 1 = 0.5(x + 2)
Step-by-step explanation:
<em>Step 1 : Find two coordinates</em>
(0, 2) (-4, 0)
<em>Step 2 : Find the slope</em>
Slope = m = Y2-Y1/X2-X1
m = 0-2/-4-0
m = -2/-4
m = 1/2 or 0.5
<em>Step 3 : Find the y-intercept</em>
Y-intercept is where the line intersects the y-axis
c = 2
<em>Step 4 : Form the equation y=mx + c</em>
<em>Given Equations and their slope intercept forms:</em>
1) f(x) = 0.2x - 4
This is incorrect because slope is 1/2 or 0.5 and y intercept is 2
2) f(x) = 1/2x + 2
y = 1/2x + 2
This is correct because slope is 1/2 or 0.5 and y intercept is 2
3) f(x) = 0.5x + 2
y= 0.5x + 2 (As m=0.5)
This is correct because slope is 1/2 or 0.5 and y intercept is 2
4) y – 3 = 1/2(x – 2)
Rearranging in slope intercept form:
y-3=1/2x - 1
y = 1/2x-1+3
y = 1/2x + 2
This is correct because slope is 1/2 or 0.5 and y intercept is 2
5) y – 1 = 0.5(x + 2)
y -1 = 0.5x+1
y = 0.5x +1+1
y = 0.5x + 2
This is correct because slope is 1/2 or 0.5 and y intercept is 2
!!
