What is the slope (gradient) of

2x=6y+5

Get Eq. 1 into y = mx + b format:

6y + 5 = + 2x

6y = + 2x - 5

Divide each side by 6

6y
6
=
  
2x - 5
6

Simplifying , we have:

y = 0.33333333333333x - 0.83333333333333

Final Answer


Slope = 0.33333333333333


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Calculate the y intercept of our line

The y intercept is found by
Setting x = 0 in

y=0.33333333333333(0)-0.83333333333333

y-intercept = 0-0.83333333333333

y-intercept = -0.83333333333333

Common Core State Standards In This Lesson
8.EE.C.8.A
What is the Answer?
Slope = 0.33333333333333
How does the 2 Lines Intersection Calculator work?
Free 2 Lines Intersection Calculator - Enter any 2 line equations, and the calculator will determine the following:
* Are the lines parallel?
* Are the lines perpendicular
* Do the lines intersect at some point, and if so, which point?
* Is the system of equations dependent, independent, or inconsistent
This calculator has 2 inputs.
What 3 formulas are used for the 2 Lines Intersection Calculator?
Lines are parallel when they have the same slope.
Lines are perpendicular when they have slopes which are negative reciprocals.
For a line y = mx + b, m is the slope
What 6 concepts are covered in the 2 Lines Intersection Calculator?
2 lines intersection
intersect
line equation
parallel
perpendicular
two lines which intersect to form a right angle
slope
Change in y over change in x
Example calculations for the 2 Lines Intersection Calculator
2 Lines Intersection Calculator Video

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