what is the equation in slope-intercept form of the line that passes through the point (5,0) and is parallel to the line represented by y=1.2x + 3.8 ?

Answer 1

Another way to solve different from Raymond's is by using the point/slope equation:

y-y1=m(x-x1).

If we want a line parallel to the given line than we know the slope needed for our equation, m=1.2. We are given the point the second line will pass through (5,0). Now, fill in the point/slope equation with the aforementioned information.

y-0=1.2(x-5) where I will leave for you to solve in slope/intercept form.

Answer 2

lines parallel have the same slope = the coefficient of the x term or 1.2 in the given equation

plug y=0 and x=5 into

y=1.2x + b

0 = 6 + b

b =-6

y=1.2x -6 is the equation of a line parallel going through (5,0)