Question

What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8) ? Enter your answers in the boxes.
y−____ =_____ (x−9)

Answer 1

Slope = (7 + 8)/(9 -4) = 15/5 = 3

equation

y - 7 = 3(x - 9)

hope it helps

Answer 2

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~{{ 9}} &,&{{ 7}}~) % (c,d) &&(~{{ 4}} &,&{{ -8}}~) \end{array} \\\\\\ % slope = m slope = {{ m}}\implies \cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{-8-7}{4-9}\implies \cfrac{-15}{-5}\implies \cfrac{3}{1}\implies 3$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=3(x-9)$