Slope intercept form of an equation is:
y = mx + b
where m is the slope and b is the t intercept.

First you must determine the slope of the line. This is a ratio of how fast the line travels up or down vs how fast it is moving to the right. Another name for this is rise over run. The equation to find the slope is:
m = (y1 - y2) / (x1 - x2)

now to find b. We can plug in one of the points of the equation into our first equation along with the slope to get out b value.

So if our 2 points were (2, 3) and (3, 4) we could find slope intercept form like this:
m = (2 - 3) / (3 - 4)
m = -1 / -1
m = 1
Now taking point (2, 3)
3 = 1 * 2 + b
1 = b
Finally to plug our m and b into equation for answer:
y = 1x + 1
However, 1 * anything is redundant therefore:
y = x + 1

8 0

3 years ago

ˣ⁺⁶⁄ₓ = ¼<br><br> Can someone explain to me how to solve this?

mario62 [17]

The solution to the given equation is x = -8

<h3>Solving Linear Equations</h3>

From the question, we are to determine value of x in the given equation

The given equation is

(x + 6)/x = 1/4

To solve the given equation, we would solve for the unknown variable x

(x + 6)/x = 1/4

First, multiply both sides of the equation by x

x + 6 = x × 1/4

x + 6 = x/4

Now, multiply both sides of the equation by 4

4(x + 6) = 4 × x/4

4x + 24 = x

Now, subtract x from both sides of the equation

4x - x + 24 = x - x

3x + 24 = 0

Subtract 24 from both sides of the equation

3x + 24 - 24 = 0 - 24

3x + 0 = -24

3x = -24

Divide both sides of the of the equation by 3

3x/3 = -24/3

x = -8

Hence, the solution to the given equation is x = -8

Learn more on Solving Linear Equations here: brainly.com/question/85186

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4 0

1 year ago