The equation of a line l1 is y=5x+1 the equation of l2 is 2y-10x+3=0 show that these 2 lines are parallel

Parallel lines have equal slopes

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 5x + 1 is in this form with slope m = 5

rearrange 2y - 10x + 3 = 0 into this form

add 10x to both sides

2y + 3 = 0 + 10x ( subtract 3 from both sides )

2y = 10x - 3 ( divide all terms by 2 )

y = 5x -  ← in slope- intercept form with slope m = 5

Since both lines have a slope of 5 then they are parallel lines

Step-by-step explanation:

hope this helps

ye

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)