Question

Identify the correct equation in slope intercept form for the graph below. The intercepts are (4/3,0) and (0, -4)

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ \frac{4}{3}}}\quad ,&{{ 0}})\quad % (c,d) &({{ 0}}\quad ,&{{ -4}}) \end{array} \\\quad \\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-4-0}{0-\frac{4}{3}} \\ \quad \\\\ % point-slope intercept y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\ \left. \qquad \right.\uparrow\\ \textit{point-slope form}$

Answer 2

The correct answer is D
Hope this helped :)