How do you graph # y=4x+8#?

1 Answer

Make a point at #(0,8)# then move up 4 on the y and over 1 on the #x# and make another point at #( 1,12)# draw a line to connect the points.

Explanation:

The equation is in the # y = mx +b# y intercept form. where

#m =# the slope ( think mountain slope ski resort)
#b =# the #y# intercept ( think beginning pony)

The equation # y= 4x + 8#

#m = 4/1color(white)(000)# The change in #y# is 4 and the change in #x# is 1
#b= 8color(white)(000)# The line crosses the #y# axis at #( 0,8)#

Start at the y intercept 8 make a point at #( 0,8)# Then use the slope

Go up 4 on the #y# axis

# 8+ 4 = 12# The #y# value of the second point is 12

Go over 1 on the #x# axis

# 0 + 1 = 1# the #x# value of the second point is 1.

make a second point at #( 1,12)# Connect the dots.

graph{4x+8 [-18.27, 13.77, -3.68, 12.35]}