Question

1. Write the equation of the line that passes through (8, 2) and (7,6) in slope-intercept form. 1 y = -40 + 34 Oy y = -- +34 I Oy= - 4x +34 Oy= 4x +34

Answer 1

The required equation is y= -4x+34

`\begin{gathered} \text{Slope}=(y_2-y_1)/(x_2-x_1)=(6-2)/(7-8)=(4)/(-1)=-4 \\ \text{The equation of the line is} \\ y-y_1=slope(x-x_1) \\ y-2=-4(x-8) \\ y-2=-4x+32 \\ y=-4x+32+2 \\ y=-4x+34 \end{gathered}`