What is this equation in slope-int form?

What is #-x + 0.5y = -4.5# in slope-int form?

2 Answers
Apr 25, 2018

#y = 2x-9#

Explanation:

Slope-int form requires the equation to be states as #y=mx+b#

Given #−x + 0.5y = −4.5#, we need to isolate the y.

Start by adding x to both sides.
#0.5y = x - 4.5#

Then multiply both sides by 2, and simplify
#y = 2(x - 4.5)#
#y = 2x - 9#

Apr 25, 2018

see a solution process below;

Explanation:

Recall the equation of a straight line;

#y = mx + c#

Where;

#m = "slope"#

#-x + 0.5y = -4.5#

Rearranging the equation..

#0.5y = x - 4.5#

Dividing through by #0.5#

#(0.5y)/0.5 = x/0.5 - 4.5/0.5#

#y = x/0.5 - 9#

Note: #0.5 = 5/10 = 1/2#

#y = x div 1/2 - 9#

#y = x xx 2/1 - 9#

#y = 2x - 9#

Comparing both equations..

#m = 2#

Therefore the slope of the equation is #2#

But the equation of the slope is #y = 2x - 9#