Question

Here’s a graph of a linear function. Write the equation that describes that function

Express it in slope Intercept form.

Answer 1

Slope-intercept form of a line is y=mx+b.

Where m= slope and b= y-intercept.

y-intercept is a point at which the graph intersect at y-axis.

Notice that the graph cross y-axis at y=-5.

So, b= -5.

Formula to find the slope of a line is:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

We can take any two points from the graph . So, let's take (0, -5) and (6, -2).

Next step is to plug in the values in the above formula x1= 0, y1=-5, x2=6 and y2=-2.

m=
`(-2-(-5))/(6-0)`

=
`(-2+5)/(6)`

=
`(3)/(6)`

=1/2

=0.5

So, the slope-intercept form of the given graph is y= 0.5x-5.