Graph the equation by plotting points:y=-2x+4

Here are a few points to graph:

To find the coordinates of a point you will have to substitute the x for y value then find the y. For example:

if we substitute x for-2 the equation will become: y=(-2*-2)+4=4+4=8. and so on so here are a few x points:

X=-2: Y=4+4=8

X=-1: Y=2+4=6

X=0: Y=0+4=4        (X-INTERCEPT)

X=1: Y=-2+4=2

X=2: Y=-4+4=0       (Y-INTERCEPT)

X=3: Y=-6+4=-2

X=4: Y=-8+4=-4

X=5: Y=-10+4=-6

I hope this helps :)

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.