Question

Use the equation y = -2x to answer the questions

(a) Graph y = -2x.
(b) What is the slope of y = -2x and what does this mean?
You must complete all parts to receive full credit

Answer 1

a) Graph attached below

b) See Below

Explanation:

a)

Graph is attached below.

It is a negative sloping line with y-intercept of 0.

b)

The equation of a line is given as

y = mx + c

Where m is the slope (rise/run) and c is the y-intercept (the place where it cuts the y-axis)

Looking at y = -2x, we see that slope is -2 and y-intercept is 0.

The meaning of slope is rise/run, or the change in y/change in x.

So, a slope of -2 can be written as:

`(-2)/(1)`

It means "for every change in 1 units of x, there is a change (negative) of 2 units in y".

Or we can say for every per unit change in x (positive), the change in y is -2 (negative).