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

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

the probability that a bird is green (.30) is true

step-by-step explanation: