Aline contains the points (-4,5) and (3,-9). write the equation of the line using slope-intercept form.. hurry

y= -2x-3

Step-by-step explanation:

Using the slope intercept form we have to first find the gradient of the line.

m=(y₂-y₁)/(x₂-x₁)

y₁=5

y₂=-9

x₁=-4

x₂=3

Therefore, m= (-9-5)/(3--4)

=-2

Therefore if we pick any point on the line, say, (-4,5) we obtain the same slope.

(y-5)/(x--4)=-2

(y-5)/(x+4)=-2

y-5=-2(x+4)

y-5=-2x-8

y= -2x-3

Thus the equation of the line in the slope intercept form is: y= -2x-3

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

24 units

step-by-step explanation: