Choose the correct slope-intercept form of the following equation and identify the slope and y-intercept. x + 2y = 5
a.)2x + y = 3; m=2; b=3
b.)y = 3x + 2; m=-4; b=0
c.)y = -1/2x + 5/2; m=-1/2; b=5/2
x + 2y = 5
2y = -x + 5
y = (-1/2)x + 5/2
so
m = -1/2
when x = 0, y = 5/2 (y intercept)
Thank you:)
Option d is correct because 2y=-x+5
divide by 2
y=-x/2+5/2
compare by y=mx+c
m=-1/2 and c=5/2
To identify the correct slope-intercept form of the equation x + 2y = 5, we need to rearrange the equation to isolate y as the subject.
Starting with the given equation:
x + 2y = 5
First, move the x term to the other side of the equation:
2y = -x + 5
Next, divide the entire equation by the coefficient of y (2) to isolate y:
y = (-x + 5)/2
Now that we have the equation in slope-intercept form (y = mx + b), we can compare it to the options provided.
a.) 2x + y = 3; This equation is not equivalent to the given equation.
b.) y = 3x + 2; This equation is not equivalent to the given equation.
c.) y = -1/2x + 5/2; This equation matches the given equation.
Therefore, the correct slope-intercept form of the equation x + 2y = 5 is y = -1/2x + 5/2. In this form, the slope (m) is -1/2 and the y-intercept (b) is 5/2.