Question

The speed of a motorcycle is changing according to the equation y = -2x +30, where x = the time in seconds

and y = the speed in miles per minute. Which is a true statement about this equation?
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It's not a linear equation, but its grapg is a straight line.
It is a linear equation, and its graph is a straight line.
It's not a linear equation and its graph is not a straight line.
it's a linear equation, but the graph is not a straight line

Answer 1

The given line y = -2x +30 is a straight line as it is written in the

form y = mx + b.

The graph of the line y = -2x +30 is also straight and attached below.

Explanation:

Given the equation

y = -2x +30

We know that the slope-intercept form of the line equation is

`y=mx+b`

Where m is the slope and b is the y-intercept

• The graph of y=mx+b is a straight line as it is the line equation.

Writing the equation in the slope-intercept form

y = -2x +30

y = mx + b

Thus,

m = -2

b = 30

Thus, the given line y = -2x +30 is a straight line as it is written in the

form y = mx + b.

The graph of the line y = -2x +30 is also straight and attached below.