Answer:
(Check the attached image).
Step-by-step explanation:
1. Identify the given information.
a. We have the slope of the line, 1/4.
b. We also have a point of said line, because when the question states "y-intercept 5..." it's telling us that the lines touches the y intercept on the value y= 5, and this only happens when x= 0. Hence, a given point is (0, 5).
• Formula for constructing linear equations.
Formula: [tex]y-y_{1} =m(x-x_{1} )[/tex]; where m is the slope of the function; x1 is the x value of a point the function passes through, and y1 is the y value of a point the function passes through.
2. Substitute in the formula and calculate the equation of the line.
[tex]y-(5) =(\frac{1}{4} )(x-(0) )\\ \\y-5=\frac{1}{4} x\\ \\y=\frac{1}{4} x+5[/tex]
3. Graph the line.
(Check the attached image).
