The approximate equation in slope intercept form is y = 3x + 2.
Solution:
Let us take (0, 2) and (1, 5) on the graph.
[tex]x_1=0, y_1=2, x_2=1, y_2=5[/tex]
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:
[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]$m=\frac{5-2}{1-0}[/tex]
[tex]$m=\frac{3}{1}[/tex]
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.
