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Equation of the line slope-intercept form
Equation of the Given line
Compare with the equation of line slope-intercept form
Slope of the given = m = 2
Since lines are parallel their slope will be same
Slope of the required line = m = 2
Point (-1, -7)
We have a point and slope we can get easily the require line equation.
Use Equation of the line point-slope form
m = y2-y1/x2-x1
Put the values in above equation, we have
Above equation is the equation of the required line
y=2x+3 Given line (Red)
y=2x-5 Required line (Green)