Question

What is the equation of the line that passes through the point (1, 6) and has a slope of 3?
A) y = 3x + 5
B) y = 3x + 3
C) y = 3x - 17
D) y = 3x - 5

Answer 1

y = mx + b

Answer 2

where m = slope
and b = y intercept

Answer 3

plug x into one of the equations which one gives you an out put of 6 or y = 6

Answer 4

remember

(x,y)

so you have x = 1

Answer 5

follow??

Answer 6

im not following /:

Answer 7

slope/gradient of 3 which means m=3
in the general equation of y=mx + c
the c= y-intercept

Answer 8

we are also provided with the point of (1,6) and we know m=3
so sub both of these into the general equation of y=mx + c
to find c(the y-intercept)

Answer 9

then we can rewrite the whole equation and easily figure out which one it is.

Answer 10

this is a graph of a line
y = 3x + 5

if we sub 1 into the x value

y = 3(1) + 5
y = 8

thus we have the point
x , y
(1,8)

therefore this equation is not the one we are looking for

y = mx + b is just the standard formula of a line

b is just the number that occurs when x = 0

so the y intercept looks like this

(0,y)

Answer 11

y = mx + b
6 = 3(1) + b

All you have to do is solve for b

Answer 12

oh ok!

Answer 13

i understand now, i dont know why i didnt before its quite simple! thanks everyone!!