Question

find an equation for the line that passes through the point (2,-5) and
a) is parallel to the x-axis
b) is parallel to the y-axis
c) is parallel to the line 2x-4y=3

Answer 1

parallel to the x-axis ---> horizontal line of slope=0
so y=-5

parallel to the y-axis ---> vertical line of undefined slope
so x=2

parallel lines have same slope
2x-4y=3
4y=2x-3
y=(1/2)x -3/4 ------> slope=1/2


so y+5=1/2(x-2)
y+5 = (1/2)x -1
y=(1/2)x -6

Answer 2

ok , thank you , i got it

Answer 3

yw :)

Answer 4

b) y = -5 parallel to x-axis means y is constant, since we have (2,-5) on the line
y = -5 is the line
c) x = 2
parallel to y-axis means x is constant, since we have (2,-5) on the line x = 2 is the line
d) 2x - 4y = 3
4y = 2x - 3
y = 1/2x - 3/4
You see the slope is 1/2 i.e m
For our line y = mx + b to be parallel to y = 1/2x - 3/4 both should have the same slope i.e 1/2
y = 1/2x + b
Substitute x = 2 and y =-5
-5 = 1/2 * 2 + b
-5 = 1 + b
b = -6
So our line is y = 1/2x - 6

Answer 5

thank you so much