Write the slope-intercept form of the equation of the line passing through the point (3,6) and parallel to the line y= -4x + 3

The slope of parallel lines is the same. For the line y =
-4x + 3, which is in slope-intercept form, the slope is
-4.

The line passing through the point (3, 6) should also
have a slope of -4.

The equation of this line is given by
(y - 6)/(x - 3) = -4

=> y - 6 = -4x +
12

=> y = -4x +
18

The equation of the line passing through
(3, 6) and parallel to the line y = -4x + 3 is y = -4x + 18