Answer:
r = i + j + (-2/3)(3i - j)
Step-by-step explanation:
Vector Equation of a line - r = a + kb ; where r is the resultant vector of adding vector a and vector b and k is a constant
if a = i + j ; b = t(3i - j) and r = -i +s(j)
for this to be true all the vector components must be equal
summing i 's
i + 3ti = -i; then t = -2/3
j - tj = sj; then s = 1-t; substitue t; s=1+2/3 = 5/3
so r = i + j + (-2/3)(3i - j) which will symplify to -i + 5/3j
It is the first one on the left ( 4 divided by 7)
Parallel line means having the SAME slope
so the slope of a line parallel to the given line is 2
plug in the given point and slope of 2 into point slope form
y+1 = 2 (x+4)
solve for slope intercept form
y+1 = 2x + 8
y = 2x + 7
answer: y=2x+7
Use the method rise over run (rise/run) that would get you 30/20 and that would equal to 1.5
