Solve the equation 7x+2y=8 for y, identify the slope, then find an equation for

pancha3

pancha3

Answered question

2021-09-16

Solve the equation 7x+2y=8 for y, identify the slope, then find an equation for the line that is parallel to the line 7x+2y=8 and passes through the point (0,4).

Answer & Explanation

ottcomn

ottcomn

Skilled2021-09-17Added 97 answers

Step 1
Given,
7x+2y=8
Step 2
On simplification, we get
2y=-7x+8
y=72x+4
Now comparing with y=mx+c, we get
Slope =m=72
Step 3
Now the slope of the required line is equal to the slope of the given line, because they are parallel.
Therefore,
Equation of the line passing through (0,4) with slope 72 is,
y4=72(x0)
2y8=7x
7x+2y8=0

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