We are asked to find the equation of the line in slope-intercept form that passes through the following points.
Recall that the equation of the line in slope-intercept form is given by
Where m is the slope and b is the y-intercept.
The y-intercept is the point when the line crosses the y-axis.
The slope of the line is given by
Let us substitute the given values into the slope formula
So the equation of line becomes
Now let us find the y-intercept (b)
Choose any one point from the given two points
Let's choose (-2, 3) and substitute it into the above equation
Please note that even if you had chosen the other point then still you would have gotten the same y-intercept.
Therefore, the equation of the line in slope-intercept form is