Question

Find an equation of the line that passes through the two given points. Write an equation in slope-intercept form. Round the slope and the constant term to decimal places. (-4.7,2.7) and (1.3,-7.3)

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -4.7}}\quad ,&{{ 2.7}})\quad % (c,d) &({{ 1.3}}\quad ,&{{ -7.3}}) \end{array} \\\quad \\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}} \\ \quad \\\\ % point-slope intercept y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\ \qquad \uparrow\\ \textit{point-slope form}$