Question

Graph the line with slope -2 and y-intercept -3

Answer 1

step 1. go down to (0, -3) [only do this step once]

step 2. go down 2 units and to the right once.

step 3. repeat from step 2

Answer 2

The graph of the line with slope -2 and y-intercept -3 can be plotted by finding any two points on that line.

What is the slope of a straight line?

A straight line of the form:

$y = mx + c$

has its slope as 'm' and y-intercept c.

It is constant for a line. The more the slope is, the steeper the line is.

How do we make graph of a function?

Suppose the considered function whose graph is to be made is $f(x)$

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values $f(x)$

are plotted on the vertical axis.

They are together plotted on the point

$(x,y) = (x, f(x))$

This is why we usually write the functions as:

$y = f(x)$

Since the considered line has:

• slope =  m = -2
• and y-intercept = c=-3

Thus, the equation of this line is:

$y = -2x -3$

Take any two values of x, let it be x = 0 and x = 1,

Then we get value of y as:

At x = 0, y = 0 - 3 = -3

At x = 1, y= -2 -3 = -5

Thus, two points (0,-3) and (1, -5) are on the considered line.

Plotting these points, taking a ruler and connecting those points by a straight line would give the graph of the considered line.

The plot of the considered line is attached below (along with those two points we took help of).

Learn more about straight line here:

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