Question

I NEED HELP ASAP

Write an equation in point-slope form with the given characteristics Passes through (1,8) and (-2,3)​

Answer 1

`y - 8 = (5)/(3)(x - 1)`

Explanation:

1) Use the slope formula,
`(y_2 - y_1)/(x_2 - x_1)`, and the given points to find the slope.
`x_1` and
`y_1` represent the x and y values of one point the line must intersect, and
`x_2` and
`y_2` represent the x and y values of another point the line must also intersect:

`((3)-(8))/((-2)-(1))`

=
`(-5)/(-3)`

=
`(5)/(3)`

2) Using the point-slope formula,
`y-y_1 = m (x - x_1)`, use the slope you just calculated and substitute it for m. Choose any of the two points given (I chose (1,8)) and substitute its x and y values for
`x_1` and
`y_1`. Don't worry, the equation of the line is the same no matter which point you choose (unless the question specifies which one you need to choose):

`y - 8 = (5)/(3)(x - 1)`

Answer 2

We first solve to find the slope. The slope of the line is 5/3. Then we substitute that into the formula that is y-y1=m(x-x1). M represents the slope of the line and the x and y’s represent the point values. So we get 8-3=5/3(1+2). We get this solution if it asks you to figure out the slope along the way too.

If they ask you the equation when knowing only the two points you do 8-3=m(1+3)

They both mean the same thing ( it just depends on what the problem is specifically asking you about)