Which of the following is the equation of a line in slope-intercept form with a slope of -1/2 that passes ....

Question

Which of the following is the equation of a line in slope-intercept form with a slope of -1/2 that passes through the point(-2,4)?

thanks

Answer 1

y - y value.
x - x value.
m - slope of line.
c - line intercept.

Slope = -½
pt(-2,4)
y = mx + c
4 = m(-2) + c
4 = -2m + c
4 = -2(-½) + c
4 = +1 + c
3 = + c

y = mx + c
y = -½x + 3

Answer 2

y = mx + b where m = slope and b = y-intercept. We know m (given as -1/2) so we need to find b. To find b, just put the given point in the equation, x = -2, y = 4:

4 = -1/2 (-2) + b
4 = 1 + b
b = 3

y = -1/2x + 3

Voila!

Answer 3

Slope intercept equations are in the following form: y = mx+b, where m is the slope and b is the y intercept. So, for this equation, we need to get y all by itself on one side. So first, we will subtract x from each side. x-5y = 45 -x -x -5y = -x+45 Then we still need to get rid of the number in front of y so we will divide each side by -5. -5y/-5 = (-x+45)/-5 Now we have the following equation: y = -x/-5 +45/-5 So, next we need to reduce the fractions. -x/-5 can be reduced to x/5 (the negative cancel out) 45/-5 can be reduced to -9 Thus, the final equation is y = x/5 - 9

Answer 4

y=-1/2x+3

Answer 5

y=-1/2x+b

4=-1/2(-2)+b

4=1+b

3=b

y=-1/2x+3