Question

Write an equation for a line parallel to y = 0.25x − 5 that passes through the point (8, 5).

Answer 1

Answer:

y= 0.25x +3

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

y= 0.25x -5

This equation is already in the slope-intercept form, hence we can easily identify its slope from the coefficient of x.

Slope= 0.25

Parallel lines have the same slope.

Thus, the slope of the line is also 0.25.

Substitute m= 0.25:

y= 0.25x +c

To find the value of c, substitute a pair of coordinates.

When x= 8, y= 5,

5= 0.25(8) +c

5= 2 +c

c= 5 -2

c= 3

Hence, the equation of the line is y= 0.25x +3.