Write the equation of the line that passes through the point (3,5) that is parallel to: y=1/2x-3

Answer 1

Hi Tre T

Parallel lines have exactly the same slope with your line in Slope Intercept Form

y = mx + b, where m is the slope

y=(1/2)x - 3

The slope m = (1/2)

So your parallel line that passes through (3,5) is also

y = (1/2)x + b

Use the coordinates (3,5) to solve for b

5 = (1/2)3 + b

5 = (3/2) + b

5 - (3/2) = b

7/2 = b

Your parallel line is

y = (1/2)x + 7/2

You can graph both your lines to show that they are parallel, and that the coordinates are included at Desmos.com

I hope this helps