Question

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

Answer 1

The answer is 0 because there is no graph. Slope-intercept form is y= mx + b, where m is slope and b is the y-intercept

Answer 2

Answer:

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

Step-by-step explanation:

In order to find the equation of the linear function, we take two points from the graph through which the line is passing.

From the given graph, the line is passing through the points (0,5) and (4,6)

The slope of the line is given by the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the values, we get

$m=\frac{6-5}{4-0}\\\\m=\frac{1}{4}$

The point slope form of a line is given by

$y-y_1=m(x-x_1)\\\\y-5=\frac{1}{4}(x-0)\\\\y-5=\frac{1}{4}x\\\\y=\frac{1}{4}x+5$

The equation of the line in slope-intercept form is

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