Question

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

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:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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=$\frac{-2-(-5)}{6-0}$

=$\frac{-2+5}{6}$

=$\frac{3}{6}$

=1/2

=0.5

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