Question

Input in standard form the equation of the given line.

The line that passes through (-2, 4) and is parallel to x - 2y = 6

Answer 1

do you know the slope of the equation x - 2y = 6 ?

Answer 2

i have x-2y-10

Answer 3

to find the slope, we will put the equation in y = mx + b form, and the number in the m position is the slope.
x - 2y = 6 -- subtract x from both sides
-2y = -x + 6 -- divide by -2
y = 1/2x - 3
the number in the m position is 1/2, therefore, your slope is 1/2.
A parallel line will have the same slope.
Now we will use y = mx + b
slope(m) = 1/2
(-2,4) x = -2 and y = 4
now we sub and solve for b
4 = 1/2(-2) + b
4 = - 1 + b
4 + 1 = b
5 = b
so your parallel equation is : y = 1/2x + 5
but you need it in standard form...
y = 1/2x + 5 --- multiply by 2
2y = x + 10 -- subtract x
-x + 2y = 10 -- multiply by -1 to make x positive
x - 2y = -10

Answer 4

thanks

Answer 5

no problem :)