Equation of the line is slope-intercept form
The equation of the line can be written in the form:
y = mx + b
Where m is the slope and b is the y-intercept
If we are given the equation of the line in any other form, we can convert it to the above form by solving them for y. Let's find the slope of the following lines:
-2x - 5y = 10
Adding 2x:
-5y = 2x + 10
Dividing by -5:
y = -2/5x - 2
The coefficient of x is the slope, thus m=-2/5
4x + 2y = 8
Dividing by 2:
2x + y = 4
Subtracting 2x:
y = -2x + 4. Here the slope is m=-2
-6x + 2y = 12
Dividing by 2:
-3x + y = 6
Adding 3x:
y = 3x + 6. The slope is m=3
8y - 4x = 32
Dividing by 4:
2y - x = 8
Adding x:
2y = x + 8
Dividing by 2:
y = 1/2 x + 4. The slope is m=1/2
6y + 8x = 24
Dividing by 2:
3y + 4x = 12
Subtracting 4x:
3y = -4x + 12
Dividing by 3:
y = -4/3 x + 4. The slope is -4/3