Answer:
The equivalent equation solved for x is x = (y-b)/m
Explanation:
Here is the complete question:
The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis.
Which is an equivalent equation solved for x?
x = y-bmx = y-b over m
x= my + b
m=y−bxm is equal to the fraction with numerator y minus b and denominator x
x=y−bm
Explanation:
To determine the equivalent equation solved for x, we will make x the subject of the formula.
From the given equation,
y = mx + b
To make x the subject of the equation,
First, add -b to both sides of the equation, so that we get
y +(-b) = mx +b +(-b)
Then, we will get
y-b = mx +b -b
y-b = mx
Finally, to make x the subject of the equation, we will divide both sides by the coefficient of x ( that is, m)
(y-b) / m = mx / m
Then,
(y-b)/m = x
∴ x = (y-b)/m
Hence, the equivalent equation solved for x is x = (y-b)/m.
The first option is correct
x = (y-b)/m = y-b over m