Question

Identify the correct slope and y-intercept of the equation 2x + 4y = 8

slope = -1/2; y-intercept = (0, 2)

slope = -2; y-intercept = (0, 4)

slope = -2; y-intercept = (0, 8)

slope = -1/2; y-intercept = (0, 8)

Answer 1

first one

Answer 2

slope of
\[ax+by=c\] is
\[-\frac{a}{b}\]

Answer 3

so slope is
\[-\frac{2}{4}=-\frac{1}{2}\]

Answer 4

oh hold on i am wrong

Answer 5

solve it linerally for y...you get 4y = -2x+8

divide each term by 4...you get y = -1/2x + 2 which is your y = mx + b formula....m is your slope and b is your intercept

Answer 6

\[2x+4y=8\]\[4y=8-2x\]\[y=2-(1/2)x\]Slope: -1/2
Y-intercept: 2

Answer 7

it is the first one. to find y intercept put x = 0 solve for y you get
\[4y=8\]
\[y=2\] so it is indeed \[(0,2)\] i was mistaken

Answer 8

however it is not necessary to solve for y to find either the slope or the y intercept. to find y - intercept set x = 0 solve
to find x - intercept put y = 0 and solve