Question

PLEASE ANSWER

Write an APPROXIMATE equation in slope intercept form (y=mx+b) of the picture below.

Answer 1

The approximate equation in slope intercept form is y = 3x + 2.

Solution:

Let us take (0, 2) and (1, 5) on the graph.

`x_1=0, y_1=2, x_2=1, y_2=5`

Equation of the line in slope-intercept form:

y = mx + b

where m is the slope of the line and b is the y-intercept of the line.

Slope of the line:

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

`$m=(5-2)/(1-0)`

`$m=(3)/(1)`

m = 3

y-intercept of the line is the value of y when x = 0.

Here the value of y is 2 when x = 0. That is (0, 2) is the point of y-intercept.

Therefore b = 2.

y = 3x + 2

Hence the approximate equation in slope intercept form is y = 3x + 2.