Question 359151
<pre><font size = 3 color = "indigo"><b>
Hi,
 f ( -3 ) = - 2 and f ( 3 ) = 16 give us Pt(-3,-2) and Pt(3,16)
Finding the slope using difference in the y values/difference in x values 

slope = {{{((16-(-2))/(3-(-3)))}}} = 18/6 = 3
using the standard slope intercept form of a line
f(x) = 3x + b
Using one of the points(3,16)to solve for b
16 = 9 + b
7 = b
f(x) = 3x + 7


{{{drawing(300,300, -20, 20, -20, 20,
circle(-3, -2,0.5),
circle(3, 16,0.5),
graph( 300, 300, -20, 20, -20, 20, 3x + 7))}}}