Answer:
The slope of the line is 5.
The point slope form of the line is y=5x+6.
Step-by-step explanation:
We can find the slope using this formula: [tex]\frac{y_{2} }{x_{2} } -\frac{y_{1} }{x_{1} }[/tex]
[tex]\frac{6}{0} -\frac{9}{-3} =[/tex]
[tex]\frac{6}{0} -(-\frac{9}{3} )=[/tex]
[tex]\frac{6}{0} +\frac{9}{3} =[/tex]
[tex]\frac{15}{3} =[/tex]
5
The slope of the line is 5.
To find point slope form, we use the equation y=mx+b where m is the slope and b is the y-intercept.
The y-intercept of this slope is 6 and the slope is 5 so we get, y=5x+6