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Mathematics 9 Online
OpenStudy (ttop0816):

would i be correct? https://media.glynlyon.com/g_alg01_2013/3/83g.gif y = -3/2x - 9/2 << y = -2/3x + 9/2 y = 3/2x - 9/2

OpenStudy (jdoe0001):

hmmmm which points did you use to get that?

OpenStudy (ttop0816):

ummmm im not sure ):

OpenStudy (jdoe0001):

meaning, you haven't done the exercise well.... to get the equation of the line, you'd need 2 points

OpenStudy (ttop0816):

yes

OpenStudy (jdoe0001):

I can see right off, that ( -3, 0) works, as well as ( -1, -3) works too, so using those to get the equation \(\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ &(-3\quad ,&0)\quad &(-1\quad ,&-3) \end{array} \\\quad \\ slope = m= \cfrac{rise}{run} \implies \cfrac{y_2-y_1}{x_2-x_1} \\ \quad \\ y-y_1=m(x-x_1)\quad \textit{once you get the slope then just plug in}\\ \quad \\ \textit{the values here and solve for "y"}\)

OpenStudy (ttop0816):

the slope is -3/2?

OpenStudy (jdoe0001):

yes and if you use that and the point at \(\bf x_1, y_1\) you'd end up with \(\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ &(-3\quad ,&0)\quad &(-1\quad ,&-3) \end{array} \\\quad \\ slope = m= -\cfrac{3}{2} \\ \quad \\ y-0=-\cfrac{3}{2}(x-(-3))\quad \textit{and solve for "y"}\)

OpenStudy (ttop0816):

−3/2(x−(−3)) to solve this part is it distributive property?

OpenStudy (jdoe0001):

yeap

OpenStudy (jdoe0001):

\(\bf y-0=-\cfrac{3}{2}(x-(-3))\implies y=-\cfrac{3}{2}(x+3)\)

OpenStudy (ttop0816):

y= -3/2x-9/2?

OpenStudy (jdoe0001):

yeap

OpenStudy (ttop0816):

thank you!

OpenStudy (jdoe0001):

yw

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