Answer:
y=-3x-2
Step-by-step explanation:
step 1- find the slope
parallel to means same slope, so look at y+3x=4, its not in the correct slope form so we subtract both sides by 3x to get y=-3x+4, the slope is the coefficient of x which is -3. Slope equals 3
step 2- use the point slope form which is y-y1=m(x-x1)
and substitute in the numbers (only substitute y1,x1, and m)
m is the slope which we found to equal -3
x1 and y1 are the points that they gave us (-2,4) are (x1,y1)
x1=-2
y1=4
step 3- substitute
y-y1=m(x-x1)
y-4=-3(x-(-2))
simplifies to y-4=-3x-6
add 4 to both sides to get y=-3x-2