SOLUTION: use the given conditions to write an equation for the line in point-slop form, slope intercept form, and standard form. Passing though(1,-2)and parallel to the line whose equati

Question 231631: use the given conditions to write an equation for the line in point-slop form, slope intercept form, and standard form.
Passing though(1,-2)and parallel to the line whose equation is 2x-4y=9
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Use the given conditions to write an equation for the line in point-slope form,
slope intercept form, and standard form.
Passing though(1,-2)and parallel to the line whose equation is 2x-4y=9
:
Find the slope of the given equation by finding the slope/intercept form
2x - 4y = 9
-4y = -2x + 9
We need y to be positive, multiply equation by -1
4y = 2x - 9
Divide equation by 4
y = x -
y = .5x - 2.25
:
slope (m) = .5
:
Parallel lines have the same slope; use the point/slope form to find the equation: y - y1 = m(x-x1)
In this equation: m=.5; x1=1; y1=-2
y - (-2) = .5(x - 1); the point slope form
y + 2 = .5x - .5
y = .5x - .5 - 2
y = .5x - 2.5; the slope intercept form
:
Find the standard form
y = .5x - 2.5
-.5x + y = -2.5
Multiply eq by -2
x - 2y = 5; the standard form of the line parallel to 2x - 4y = 9
RELATED QUESTIONS
Use the given conditions to write an equation for the line in point-slope form... (answered by josgarithmetic,TeachMath)

3.13 Use the given conditions to write an equation for the line in point-slope form... (answered by josgarithmetic)

For each line,use the given conditions to write an equation in the point slope form and... (answered by swincher4391)

use the given conditions to write an equation for the line in point-slope form,... (answered by Cromlix)

use the given conditions to write and equation for each line in point-slope form and... (answered by Alan3354)

use the given conditions to write and equation for each line in point-slope form and... (answered by MathLover1)

Use the given conditions to write an equation for the line in point-slope form and (answered by stanbon)

3.18 Use the given conditions to write an equation for the line in point-slope form... (answered by Fombitz)

use the given conditions to write and equation for each line in point-slope form and... (answered by lwsshak3)