Can you help me with this?

Question

Write an equation in standard form of the line that

passes through (3,9), (1,1)

Answer 1

the line through the points (3,9) and (1,1) has a slope = (9-1)/(3-1) = 8/2 = 4

y = 4x + b. solve for b by pluggin in either point

1 = 4 + b, b = -3

the line is y= 4x - 3. that's in slope intercept form

check by plugging in the other point

9 = 4(3) -3 = 12-3 = 9

for general form, put x and y and constant terms all on the left side

-4x + y + 3 = 0