Answer:
The equation would be y = -2/3x + 10
Step-by-step explanation:
To find the equation of this new line, we first need to identify the slope of the first line. To do this, we need to solve for slope-intercept form.
2x = 1 - 3y
2x - 1 = -3y
-2/3x + 1/3 = y
In slope-intercept form, the slope is always the coefficient of x. This makes the slope of the first equation -2/3. Since parallel lines have the same slope, our new slope will also be -2/3.
Given that and the point, we can solve for the equation using point-slope form.
y - y1 = m(x - x1)
y - 4 = -2/3(x - 9)
y - 4 = -2/3x + 6
y = -2/3x + 10
