Explanation:
parallel means it has the same slope.
the slope is always the factor of x : -3/2
I guess the needed equation is in slope-intercept form :
y = ax + b
"a" being the slope, "b" being the y intercept (the y value when x = 0).
but since we have a point on the line and its slope, we can start with the point-slope form
y - y1 = a(x - x1)
"a"is again the slope, (x1, y1) is the given point.
and then we transform this into the slope-intercept form.
in our case we have
y - -1 = -3/2 × (x - 6)
y + 1 = -3x/2 + 18/2 = -3x/2 + 9
y = -3x/2 + 8
or
y = -3/2 x + 8
or
y = -1/2 × (3x - 16)