Question

How do you solve this ? I’m really confused

Answer 1

You can use the formula
M= y2 - y1 is divided by x2-x1

The graph is saying the first point is 4,2 and the second point is 6,1

The first number is the x value and the second value is the y value.
So in this case, y2 is -1 and y1 is 2
So you are doing -1-2 which is equal to -3
Then for the x values, x2 is 6 and x1 is 4. So you would do 6-4 which is 2.
So since y has to be on top and x is on the bottom, it would be -3/2.
So, the equation is:
M= -3/2

M=

Answer 2

`\sf y +1 = (-3)/(2)(x - 6)`

Explanation:

The point-slope form of the equation of a line is given by:

`\sf y - y_1 = m(x - x_1)`

where
`\sf (x_1, y_1)` is a point on the line, and
`\sf m` is the slope of the line.

Let's use the given points
`\sf (6, -1)` and
`\sf (4, 2)` to find the equation.

First, find the slope (
`\sf m`) using the formula:

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

Substitute the coordinates
`\sf (x_1, y_1) = (4, 2)` and
`\sf (x_2, y_2) = (6, -1)` into the formula:

`\sf m = ((-1 - 2))/((6 - 4))`

`\sf m = (-3)/(2)`

Now, choose one of the points, let's say
`\sf (4, 2)`, and substitute into the point-slope formula:

`\sf y - (-1) = (-3)/(2)(x - 6)`

`\sf y +1 = (-3)/(2)(x - 6)`

So, the equation in point slope form is:

`\sf y +1 = (-3)/(2)(x - 6)`