Question

10. Preston needs to write an equation in slope intercept form to represent 1 pointthe relationship between x and y in the table below. What will be the valueof the y-intercept in his equation? *

Answer 1

The general equation of line passing through point (x_1,y_1) and (x_2,y_2) is,

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x_{}-x_1)$

Determine the equation of line passing through points (2,-9) and (4,-6).

$\begin{gathered} y-(-9)=\frac{-6-(-9)}{4-2}(x-2) \\ y+9=\frac{3}{2}x-3 \\ y=\frac{3}{2}x-12 \end{gathered}$

The slope intercept form of equation is y = mx + b, where m is slope and b is y-intercept. So in equation y = 3/2x - 12, slope is 3/2 and y-intercept is -12.

Thus, answer is -12.