Find the y-intercept and the slope of the line -2x+6y=5
adding 2x ... 6 y = 2 x + 5
dividing by 6 ... y = 1/3 x + 5/6
To find the y-intercept and slope of the line -2x + 6y = 5, we need to rearrange the equation into slope-intercept form, which is in the form y = mx + b, where m is the slope and b is the y-intercept.
Starting with the given equation:
-2x + 6y = 5
We want to isolate y on one side of the equation. Let's begin by moving the -2x term to the right side:
6y = 2x + 5
Next, divide both sides of the equation by 6 to isolate y:
y = (2/6)x + (5/6)
Simplifying further:
y = (1/3)x + 5/6
Now we have the equation in slope-intercept form. The coefficient of x, which is (1/3), represents the slope of the line. So, the slope of the line -2x + 6y = 5 is 1/3.
The constant term, which is 5/6, represents the y-intercept. So, the y-intercept of the line is 5/6.