Answer:
y=4/7x+2/7
Step-by-step explanation:
For lines to be parallel, the slope must be the same. From the point-slope form that the equation of line g has taken, it can be easily identified that line g's slope is 4/7, so line h's slope must be as well.
To make sure that line h passes through point (3,2), you must use the point slope form.
y-y1=m(x-x1)
y1 represents the y value of the point you're trying to pass
m represents your slope
x1 represents the x value of the point you're trying to pass
leave y and x alone, as they're just variables in the equation.
Plug in the slope (4/7), and x1 and y1 values (3, 2).
y-2=4/7(x-3)
Distribute.
y-2=4/7x-12/7
Addition property of equality (add 2 to both sides to isolate y).
y=4/7x+2/7
There is your equation for line h.
