Answer:
y = [tex]\frac{3}{4}x+2[/tex]
Step-by-step explanation:
In the figure attached,
Graph of the line passes through the two points (0, 2) and (4, 5).
Let the equation of this line is y = mx + b
Here m = slope of the line
b = y-intercept
Since slope of the line passing through two points is represented by,
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{(5-2)}{(4-0)}[/tex]
= [tex]\frac{3}{4}[/tex]
Y-intercept of the line 'b' = 2 units
Therefore, equation of the line will be,
y = [tex]\frac{3}{4}x+2[/tex]
