SOLUTION: Please assist me with this problem. Thanks! Write an equation of a line which is parallel to 5x + 2y = 4 and passes through the point (1,0).

Question 90881: Please assist me with this problem. Thanks!
Write an equation of a line which is parallel to 5x + 2y = 4 and passes through the point (1,0).
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)

Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)

Start with the given equation

Subtract 5x from both sides

Simplify

Divide both sides by 2 to isolate y

Break up the fraction on the right hand side

Reduce and simplify

The original equation (standard form) is equivalent to (slope-intercept form)

The equation is in the form where is the slope and is the y intercept.

Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line

Since any two parallel lines have the same slope we know the slope of the unknown line is (its from the slope of which is also ). Also since the unknown line goes through (1,0), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

where m is the slope and (,) is the given point

Plug in , , and

Distribute

Multiply

Add to both sides to isolate y

Make into equivalent fractions with equal denominators

Combine the fractions

Reduce any fractions

So the equation of the line that is parallel to and goes through (,) is

So here are the graphs of the equations and

graph of the given equation (red) and graph of the line (green) that is parallel to the given graph and goes through (,)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Please assist me with this problem. Thanks!
Write an equation of a line which is parallel to 5x + 2y = 4 and passes through the point (1,0).
--------------
The given line has slope m=-5/2
The line you want has form y=mx+b where m=-5/2,y=0 when x=1; solve for b:
0=(-5/2)1+b
b=(5/2)
EQUATION:
y = (-5/2)x + (5/2)
================
Cheers,
Stan H.
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