what is the value of n in the equation nx+15=6y would give you a slope of 2
So first you need to re-arrange into y=mx + b format.
divide both sides by 6
(nx)/6 +15/6 = y
now we need "n" to end up as 2 for the slope to be 2,
n/6 = 2
solve for n
To find the value of n in the equation nx + 15 = 6y that would give you a slope of 2, we need to recognize that the equation is in a standard form. The equation can be rewritten as:
6y = nx + 15
To determine the slope in terms of n, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope. Let's isolate y on one side of the equation:
6y = nx + 15
Divide both sides of the equation by 6:
y = (nx + 15) / 6
Now the equation is in the desired form. From this equation, you can observe that y has a coefficient of n/6. Since we want the slope to be 2, we set n/6 equal to 2:
n/6 = 2
To find the value of n, we can multiply both sides of the equation by 6:
n = 2 * 6
n = 12
Therefore, the value of n in the equation nx + 15 = 6y that gives you a slope of 2 is 12.