## anonymous one year ago What is the equation in point-slope form of the line passing through (3, 6) and (−2, 1)?

1. pooja195

$\LARGE \frac{y_2-y_1}{x_2-x_1}=slope$

2. jdoe0001

$$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 3}}\quad ,&{\color{blue}{ 6}})\quad % (c,d) &({\color{red}{ -2}}\quad ,&{\color{blue}{ 1}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}} \\ \quad \\ % point-slope intercept y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\ \qquad \uparrow\\ \textit{point-slope form}$$

3. anonymous

Get your slope first $$\huge slope(m) = \frac{y_2- y_1}{x_2-x_1}$$ $$\huge slope(m) = \frac{1- 6}{-2-3}$$ What does the slope equal? After you get the slope we can use the point slope form to solve. Let us know when you have the slope. What does the slope equal?

4. anonymous

1

5. anonymous

y+6=1(x+3) is this correct?

6. anonymous

Point slope form = $$\huge y - y_1 = m(x - x_1)$$

7. anonymous

m = 1

8. anonymous

Do you have $$\huge y - 6 = 1(x - 3)$$ ?? If not try using the other point