Question

If the equation of a straight
line is y = 3 - 4x what is the
gradient​

Answer 1

Answer:

-4

Step-by-step explanation:

Slope Intercept form of Line: y = mx + c

Compare the give equation with above form, we get

m = -4

Note: Gradient is vector and slope is scalar.

I believe slope should work just fine here.

Answer 2

Given,

Line: y = 3 - 4x.

To find,

The gradient of the given line.

Solution,

The gradient of a line, also known as the slope, tells us how steep any straight line is.

It is given as the change in the value of y coordinate with respect to the change in the value of x coordinate.

Mathematically it can be defined as,

$slope = \frac{dy}{dx}$

So, for the given line, the slope or the gradient will be,

$\frac{dy}{dx} =\frac{d}{dx} (3-4x)$

⇒ $\frac{dy}{dx} =\frac{d}{dx} (3)-\frac{d}{dx} (4x)$

⇒ $\frac{dy}{dx} =0-(4)$

⇒ $\frac{dy}{dx} =-4$

⇒ Gradient = -4.

Therefore, for the given straight line (y = 3 - 4x), the gradient will be -4.