Given:
A line passes through the two points (3,5) and (-1,1).
To find:
The equation of the line in fully reduced point-slope form.
Solution:
If a line passes through two points, then the point slope form of the line is
The line passes through the two points (3,5) and (-1,1). So, the point slope form of the line is
Therefore, the point slope form of the line in fully reduced form is , here 1 is the slope of the line.
Answer:
Part 1) The product of 3 and 2y-4x=8 is
Part 2) The original equation in slope intercept form is
Part 3) The new equation in slope intercept form is
Step-by-step explanation:
we have
step 1
Find out the product of 3 and 2y-4x=8
Multiply both sides by 3
Apply distributive property both sides
step 2
Find out the original equation in slope intercept form
The equation of the line in slope intercept form is
we have
Solve for y
That means ----> Isolate the variable y
Adds 4x both sides
Divide by 2 both sides
Simplify
step 3
Find out the new equation in slope intercept form
The equation of the line in slope intercept form is
we have
Solve for y
That means ----> Isolate the variable y
Adds 12x both sides
Divide by 6 both sides
Simplify
