Answer:
y = (3/4)x + 2
Explanation:
The equation of a line has the form:
y = mx + b
Where m is the slope and b is the y-intercept.
The slope of a line can be calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x1, y1) and (x2, y2) are the coordinates of two points in the line. So, replacing (x1,y1) by (0, 2) and (x2, y2) by (4, 5) we get:
[tex]m=\frac{5-2}{4-0}=\frac{3}{4}[/tex]
On the other hand, the y-intercept is the value of y where the line crosses the y-axis. In this case, it crosses the y-axis at y = 2, so the value of b is 2.
Finally, the equation of the line is:
y = (3/4)x + 2
