Question

What is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)?

Answer 1

to find the slope
\(\dfrac{16-4}{5-3}=\dfrac{12}{2}=6\)

Answer 2

so your slope is 6

Answer 3

right now your equation is \(y=6x+b\)

Answer 4

b is the y-intercept which we are going to find

Answer 5

Solve it, and I'll tell you if you're right

Answer 6

put the ordered pair 3,4 into the equation
\(4=6*3+b\\6*3=18\\4-18=-14\\-14=b\)

Answer 7

so the slope is 6 and the y-int is -14
put that all together and you get
\(y=6x-14\)

Answer 8

@Mehek14 is correct