What is the slope and intercept of #2x-5y=-10#?

1 Answer

Answer:

#m = 2/5#

# b = +2#, or the point # (0,+2) #

Explanation:

To find the slope and y intercept it is easiest to put the equation in the slope-intercept form of a straight line:

#y = mx + b #

where #m# = the slope and
where #b# = the #y#- intercept.

Transpose the equation into the form # y =mx + b#

#2x - 5y = -10 " "# Subtract #2x# from both sides.

# 2x-2x -5y = -2x -10" "# Divide both sides by #-5 #

# (-5y)/(-5) = (-2x)/(-5) + (- 10)/(-5)" "# this gives

# y = 2/5x + 2 #

so the slope : #m = 2/5 #
the y intercept: #b = + 2# or the point # ( 0,+2) #