Show m = 2 for the straight line 8x - 4y = 12.

The correct answer is: m = 2 for the straight line 8x - 4y = 12

Step by step solution:
The slope/ gradient of a line is denoted by m.
The given equation of the line is

8x - 4y = 12
We convert this equation in the slope intercept form, which is

y = mx + c
Where m is the slope of the line and c is the y-intercept.
We rewrite the equation 8x - 4y = 12, as below

-4y = -8x - 12
Dividing the above equation by (-4) throughout, we get

 
Simplifying, we have

y = 2x + 3
Comparing with y = mx + c, we get that m = 2
Thus, m = 2 for the straight line 8x - 4y = 12
 

We can find the slope and y-intercept directly from the general form of the equation too; slope =  and y-intercept = , where the general form of equation of a line is ax + by + c = 0. Using this method, be careful to check that the equation is in general form before applying the formula. Here, we have, a = 8, b = -4, so we get