Find an equation of the line through left parenthesis 4 comma 6 right parenthesis (4,6) and parallel to y equals 2 x plus 5. y=2x+5

First, we determine the slope of the line given,

y = 2x + 5

The equation is in slope-intercept where in the slope of the line is the numerical coefficient of x. The slope is therefore 2.

The equation of the new line becomes,

y - 6 = 2 (x - 4)

Simplifying,

y = 2x - 2