Question

Plsss helppp me i dont understand

Answer 1

y = -6

Explanation:

The formula to find the slope is:

`m = (y_1 - y_2)/(x_1-x_2)`

Given that,

( 4, y ) ⇒ ( x₁ , y₁ )

( 3, 2 ) ⇒ ( x₂ , y₂ )

m ( slope ) = -8

Accordingly, we have to find the value of y₁.

Let us find it now by making y₁ the subject.

`\sf m = (y_1 - y_2)/(x_1-x_2) \\\\-8 = (y_1 - 2)/(4-3)\\\\-8 = (y_1 - 2)/(1)\\\\Multiply\:\:Both\:\:sides\:\:by\:\:1.\\\\-8=y_1-2\\\\Add \:\:2\:\:to\:\:both\:\:sides.\\\\-8+2=y_1\\\\-6=y_1=y`

Answer 2

y = -6

Explanation:

We know the formula for slope is:

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

We are given the two points using a variable and the slope.

-8 = (2-y)/(3-4)

-8 = (2-y)/(-1)

Multiply each side by -1.

8 = 2-y

Subtract 2 from each side.

8-2 = 2-y-2

6 = -y

Multiply by -1.

-6 =y