A line passes through the point (0, 5) and has a slope of -1/2. Which is the equation of the line in slope-intercept form?
A) 2x + y = 7
B) y = 3x + 5
C) y = -2x + 7
D) y = -1/2 x + 5
B?
To determine the equation of the line in slope-intercept form, we need to use the given information that the line passes through the point (0, 5) and has a slope of -1/2.
The slope-intercept form of a linear equation is given by: y = mx + b, where m represents the slope of the line and b represents the y-intercept.
We are given that the slope (m) is -1/2. So, the equation becomes y = (-1/2)x + b.
To find the value of b, we can substitute the coordinates of the given point (0, 5) into the equation.
Substituting x = 0 and y = 5 into the equation, we get:
5 = (-1/2)(0) + b
5 = 0 + b
b = 5
Now, we have the values of both m and b. Substituting these values into the equation y = mx + b, we obtain:
y = (-1/2)x + 5
Therefore, the equation of the line in slope-intercept form is: y = -1/2x + 5.
Out of the options provided, the correct answer is D) y = -1/2x + 5.
no, the slope is -1/2 Only one equation has that, and it is not B.
y=slope*x + yintercept