Question

Write an equation that passes through (0, -2) and whose slope is ½.

y = 1/2x + 2

y = -1/2x – 2

y = 1/2x – 2

y = -2x + 1/2

?????

Answer 1

This may help you:
\[y-y_1 = m(x-x_1)\], where \((x_1, y_1) \) are the coordinates of a point lying on the line and m is the slope of the line.

Answer 2

If you have an equation in the form
y=mx+b

then you have the equation of a line in slope-intercept form
m (the coefficient of x) is the slope of the line
b is the y-intercept (the y value when x is 0)

notice that your problem gives the slope of the line and the y-intercept ( the 2nd number in the (x,y) pair (0,-2) )

Answer 3

It is either one or three.
for x=0, y=-2 so
the answer is
y = 1/2x – 2