write the equation of the line that passes through the points (-1,2) and (6,3) in slope-intercept form.
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Answer:
Slope = 2/3 Y intercept +3
Step-by-step explanation:
Plot the y-intercept (0,+3) in the xy axis. Remember, this point always lies on the vertical axis y.
Starting from the y-intercept, find another point using the slope. Slope contains the direction how you go from one point to another.
The numerator tells you how much steps to go up or down (rise) while the denominator tells you how many units to move left or right (run).
Connect the two points generated by the y-intercept and the slope using a straight edge (ruler) to reveal the graph of the line.
The length is 10.
Since the two points share the same y-coordinate, the segment rt is horizontal.
This means that the length of the side is simply the difference (in absolute value) between the x coordinates of the two points.
So, we have