## anonymous one year ago MEDAL AND fan!!!!!!!!!!! Write the equation of the line that passes through (3, 4) and (2, –1) in slope-intercept form

1. jdoe0001

$$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 3}}\quad ,&{\color{blue}{ 4}})\quad % (c,d) &({\color{red}{ 2}}\quad ,&{\color{blue}{ -1}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}} \\ \quad \\ % point-slope intercept y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\ \qquad \uparrow\\ \textit{point-slope form}$$

2. anonymous

slope is 5

3. jdoe0001

yeap so use the slope of 5 and plug it in the point-slope form using the $$x_1\ and\ y_1$$ values alongside

4. anonymous

the y int is -9

5. jdoe0001

$$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 3}}\quad ,&{\color{blue}{ 4}})\quad % (c,d) &({\color{red}{ 2}}\quad ,&{\color{blue}{ -1}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= 5 \\ \quad \\ % point-slope intercept y-{\color{blue}{ 4}}={\color{green}{ 5}}(x-{\color{red}{ 3}})\qquad \textit{plug in the values and solve for "y"}\\ \qquad \uparrow\\ \textit{point-slope form}$$

6. anonymous

-11

7. anonymous

y= 5x-11 (slope intercept form)

8. anonymous

9. anonymous

Write the equation of the line that passes through (–1, 5) and has a slope of 3 in point-slope form

10. anonymous

is it y-5=3(x+1)

11. anonymous