What is the slope of the line that has the equation 4x + 2y = 12?

Solution:

Given, the equation of line is 4x + 2y = 12

We have to find the slope of the line.

We can find the slope of the line in two methods.

1) slope = -\(\frac{coefficient\, of\, x}{coefficient\: of\: y}\)

From the equation 4x + 2y = 12

Coefficient of x = 4

Coefficient of y = 2

So, slope = -(4/2)

Slope = -2

2) The equation of the line in slope-intercept form is given by y = mx + c

Where, m is the slope.

Now, converting the given equation in slope-intercept form,

2y = -4x + 12

Dividing by 2 on both sides,

y = -2x + 6

Now, slope, m = -2

Therefore, the slope of the line is -2.

What is the slope of the line that has the equation 4x + 2y = 12?

Summary:

The slope of the line that has the equation 4x + 2y = 12 is -2.