What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)? a. y - 4 = 3( x - 1)  (the answer was a)b. 1 - y = 3(x - 4)c. y₁ - 4 = 3(1 - x₁)d. 1 - y₁ = 3(4 - x₁)

The equation of a line in a point-slope form is

where m is a slope of the line and is the point that line is passing through.

If slope m=3, then the equation will be

The line is passing through the point (1,4), then the equation of the line is:

option A

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal