Question

Copy and complete the equation of line

D below.
y = _ x +
Y Line D
8
87
7-
6-
5-
44
3+
325
2-
1-
-8-7-6-5-4-3-2-10 1 2 3 4 5 6 7 8
-11
-2-
-3-
-4-
-5-
-6-
-7-
-8-

Answer 1

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

`\stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{(-7)}}}{\underset{\textit{\large run}} {\underset{x_2}{-1}-\underset{x_1}{(-4)}}} \implies \cfrac{2 +7}{-1 +4} \implies \cfrac{ 9 }{ 3 } \implies 3`

`\begin{array} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{3}(x-\stackrel{x_1}{(-4)}) \implies y +7 = 3 ( x +4) \\\\\\ y +7 = 3 x +12 \implies {\Large \begin{array}{llll} y = 3 x +5 \end{array}}`

Answer 2

`y = 3x + 5`

Explanation:

The y-intercept is 5.

To find the slope, start at (-2, -1). Go up 6 units, then right 2 units, to (0, 5). The slope of this line is 3.

So the equation of this line is y = 3x + 5.