Question

I NEED HELP ASAP

Answer 1

Answer:

$y - 8 = \frac{5}{3}(x - 1)$

Step-by-step explanation:

1) Use the slope formula, $\frac{y_2 - y_1}{x_2 - x_1}$, 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:

$\frac{(3)-(8)}{(-2)-(1)}$

= $\frac{-5}{-3}$

= $\frac{5}{3}$

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):

$y - 8 = \frac{5}{3}(x - 1)$

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)