Question

Graph the line with y-intercept 5 and slope 1/4?

Answer 1

(Check the attached image).

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:
`y-y_(1) =m(x-x_(1) )`; 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.

`y-(5) =((1)/(4) )(x-(0) )\\ \\y-5=(1)/(4) x\\ \\y=(1)/(4) x+5`

3. Graph the line.

(Check the attached image).