The graph of a line goes through the points (-4,3) and (6,8). What is the equation of the line in slope-intercept form? Enter the correct answer in the box by replacing m and b with the appropriate values.
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7/3/2001

Step-by-step explanation:

Hi there!

Slope intercept form: where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

where two points that lie on the line are and

Plug the given points (-4,3) and (6,8) into the equation

Therefore, the slope of the line is . Plug this into :

2) Determine the y-intercept (b)

Plug in one of the given points and solve for b

Subtract 3 from both sides to isolate b

Therefore, the y-intercept is 5. Plug this back into :

I hope this helps!