Question

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

Answer 1

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: $y-y_{1} =m(x-x_{1} )$; 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.

$y-(5) =(\frac{1}{4} )(x-(0) )\\ \\y-5=\frac{1}{4} x\\ \\y=\frac{1}{4} x+5$

3. Graph the line.

(Check the attached image).