Question

plot the intercepts and
graph the equation x+2y=-4

Answer 1

To find the x-intercept, you plug in y = 0 and solve for x


x+2y=-4

x+2(0)=-4 ... replace y with 0

x + 0 = -4

x = -4

So the x-intercept is the point (-4,0)

Answer 2

To find the y-intercept, you plug in x = 0 and solve for y


x+2y=-4

0+2y=-4 ... now we replace x with 0

2y = -4

y = -4/2

y = -2

Making the y-intercept to be (0,-2)

Answer 3

so how would I graph that?

Answer 4

To plot any line, you just need two points

Answer 5

So plot (-4,0) and (0,-2)

Answer 6

Then draw a straight line through them

Answer 7

do I go up 2 and sideways 4?

Answer 8

To plot the point (-4,0) , you...


step 1) start at the origin (0,0)

step 2) move to the left 4 units. Since x = -4

step 3) you do NOT move up or down since y = 0


keep in mind that (x,y) = (-4,0) so x = -4, y = 0

Answer 9

plotting (0,-2) means you


step 1) start at the origin (0,0)

step 2) you do NOT move left or right since x = 0

step 3) move down 2 units, since the y coordinate is negative 2


now (x,y) = (0,-2) so x = 0, y = -2

Answer 10

So here's a blank xy axis

Answer 11

let's add on tick marks



the tick spacing is not to scale, but you get the idea hopefully

Answer 12

Now plot (-4,0)