Question

Here's a graph of linear function. Write the equation that describes that function. Express it in slope-intercept form.

Answer 1

The form is y=mx+b. It intercepts the Y axis at Y=5, this is b in the formula.
the m in the formula is the rise/run  (slope)  it goes up 1 when you go over by 4 so slope is 1/4.  so y = (1/4)x + 5

Answer 2

Answer:

$y=\dfrac{1}{4}x+5$

Step-by-step explanation:

We are given graph of line and to find the equation of line.

First we mark two point on line and then find equation of line.

Slope intercept form:

y=mx+b

where, m is slope and b is y-intercept.

Please see the attachment for graph and point.

Two points:

(0,5)  and  (8,7)

using two point formula to find the equation,

$y-5=\dfrac{7-5}{8-0}(x-0)$

$y-5=\dfrac{1}{4}x$

$y=\dfrac{1}{4}x+5$

Hence, The equation of line is $y=\dfrac{1}{4}x+5$