The equation of a linear function that fits the given domain and range is: y = 7/5x - 3
How to derive equation of line.
If the function is linear, its equation would be of the form y = mx + b
where m is the slope
b is the y-intercept.
Given the domain [0, 5] and range [-3, 4], we can use the endpoints of the domain to determine the slope m and the range to determine the y-intercept b.
Slope (m): m = change in y/change in x
= (4 - (-3)/5 - 0)
= 7/5
Y-Intercept (b):
Choose any point in the domain and range
Let's use point (0, -3).
Substitute into the linear equation:
-3 = 7/5(0)+ b.
b = -3
The equation of a linear function that fits the given domain and range is: y = 7/5x - 3.
The graph is a straight line graph with slope 7/5
Graph