Write a linear equation given the two points
2. (3, 4) and (0,5)

y = -x/3 + 5

Step-by-step explanation:

Lets start by finding the slope between the two points. By using the equation:

m = (y2 - y1)/(x2 - x1),

we get that m = -1/3, or that the slope between the two points is -1/3.

Now we can use point-slope form to create the linear equation, but we are given the point (0,5), which tells us that the line will intersect the y-axis at y = 5, or that the y-intercept of the line will be 5. So we can use the slope intercept form to create a linear equation. Remember that the slope intercept form is:

y = mx + b

where b is the y-intercept and m is the slope. Now by plugging everything in, we get the equation:

y = -x/3 + 5

I hope you find this helpful. Happy studying. :)

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: