Answer:
x=49/34
Step-by-step explanation:
1.) Multiply both sides by 4
(4) 2x+5/4 = 9x-11 (4)
2x+5 = 36x-44
2.) Subtract 2x from both sides
<u> -2 -2 </u>
5 = 34x-44
3.) Add 44 to both sides
<u>+44 +44 </u>
<u>49=34x</u>
4.) Divide by 34
49/34 = 34x/34
2x + 5 = 4(9x - 11)
2x + 5 = 36x - 44
36x - 44 = 2x + 5
36x - 2x = 5 + 44
34x = 49
x = 49/34
x=4
x=0 is an undefined slope(straight line vertically)
We need the line to pass through the point (4,3)
So, we just take the x coordinate from the equation and make it also have an undefined slope.
x = 4
The formula of a slope:
We have the points
Substitute:
