which equation represents a line that has a slope of 3/4 and passes through the point (2,1)?
a) 3y=4x-5 b) 3y=4x+2 c) 4y=3x-2 d) 4y=3x=5
The equation for a line is
y = mx + b
In this case the slope is 3/4, so we can fill some parts in
y = 3x/4 + b
Now we find b by plugging in the point that the line passes through or (2,1)
substituting the numbers in to their respective places gives you
1 = 3(2)/4 + b
then simplifying
-1/2 = b
then returning to the original equation we get
y = 3x/4 - 1/2
then getting rid of any fractions (multiply both sides by 4)
4y = 3x - 2
The equation for a line is
y = mx + b
In this case the slope is 3/4, so we can fill some parts in
y = 3x/4 + b
Now we find b by plugging in the point that the line passes through or (2,1)
substituting the numbers in to their respective places gives you
1 = 3(2)/4 + b
then simplifying
-1/2 = b
then returning to the original equation we get
y = 3x/4 - 1/2
then getting rid of any fractions (multiply both sides by 4)
4y = 3x - 2
