Find the slope and y-intercept.7x – 3y = –3?
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y = mx + b form, where m is the slope and b is the y intercept. You make 7x – 3y = -3 into -3y = -3 – 7x by subtracting the 7x. Next you divide everything by -3 to get y = 1 + 3.5x. Then you switch the 1 and the 3.5x to get y = 3.5x – 1.
So, an easier way to read it is:
1) 7x – 3y = -3
2) -7x and subtract 7x from the -3
3) -3y = -3 – 7x
4) divide everything by – 3
5) y = 1 + 3.5x
6) y = 3.5x – 1
So. the slope is 3.5 the y-intercept is -1.
Hope that helped!
y=mx+b
m = slope
b = y intercept
that’s basic algebra… you will then get
7x – 3y = -3
subtract 7x to the other side
-3y = -7x – 3
divide that by -3 to make y by itself
y = 7/3x + 1
slope = m = 7/3
y intercept = 1
y-intercept = 1
y=-7/3x-1
y intercept = -1 , because u plug x=0
slope is -7/3
y=-7/3+1
Slope=-7/3