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=(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)=(-6-(-9))/(4-2)(x-2) \\ y+9=(3)/(2)x-3 \\ y=(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.