Question

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

Express it in slope- intercept form

Answer 1

The equation of the line is y = 1/4x + 3

Explanation:

In order to find this, start with two points that are on the line. We'll use (0, 3) and (4, 4). Now we can use the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - 3)/(4 - 0)

m = 1/4

Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.

y - y1 = m(x - x1)

y - 3 = 1/4(x - 0)

y - 3 = 1/4x

y = 1/4x + 3