Question

These two lines are parallel. Write an equation for each. Either upload a picture or type in the answer box.

Answer 1

Answer:

(top line) y=4/5x + 0, (bottom line) y=4/5-0.32

Step-by-step explanation:

so take the equation y=mx+b

b is the y intercept, which is where the line crosses (0,b)

the m is the slope, which is rise/run.

If the lines are parallel, the slopes are the same, just different y intercept

Answer 2

Step-by-step explanation:

the usual equation for a line is

y = ax + b

a is the slope. it is always the factor of x and is expressed as ratio y/x. this indicates how many units y changes, when x changes a certain amount of units when moving from one point to another.

(0, -3.2) is one point. and (4, 0) is another.

x changes by +4 (from 0 to 4).

y changes by +3.2 (from -3.2 to 0)

the slope is therefore

3.2/4 = 32/10 / 4 = 32/40 = 4/5

b is the y-intercept. that is the point, where the line crosses the y-axis (the y value when x = 0).

the given point specifies this already.

so, the line equation of the lower line is

y = (4/5)x - 3.2 or (4/5)x - 32/10 or (4/5)x - 16/5

the upper line is parallel, so the slope is the same.

and what is b, the y-intercept ? we see that the line goes directly through the origin (0, 0). so, b = 0.

the line equation of the upper line is

y = (4/5)x