Answer:
answer to the equation is
[tex]y = 2x + 11[/tex]
Step-by-step explanation:
[tex]y = mx + b[/tex]
first find the slope of the line using the two points
[tex]slope \: m = \frac{y2 - y1}{x2 - x1} = \frac{23 - 5}{6 - ( - 3)} \\ = \frac{18}{9} \\ slope \: m = 2[/tex]
substitute 2 for m and use one of the points for x and y and solve for b
[tex]5 = 2( - 3) + b \\ 5 = - 6 + b \\ 5 + 6 = b \\ b = 11[/tex]
Now that you found b, the y-intercept, you can substitute that into the equation for your line
[tex]y = 2x + 11[/tex]
