(4,7) y=3x+6 write an equation passing through the point and parallel to the given line

So, we will be using point-slope form to construct this equation.

Point-slope form's general formula is as follows:

M is the slope,

Y₁ is the Y-coordinate of the point

X₁ is the X- coordinate of the point.

So, our slope is 3 (since the equation is given in slope-intercept form)

Our Y₁ is 7 and out X₁ is 4

So, now we just plug our numbers into the equation.

There's your equation.

Hope this helps!