Graph line containing the given pair of points and find the slope.
(5,1) (-4,-2)
slope is (Y2-y1)/(x2-x1)
the line will be y=mx+b
put in either of the points, and m, and solve for b.
So the point slope form does not apply to this problem?
Your question did not ask for the equation of the line.
bobpursley showed you how to find the slope
plot the 2 given points on a graph and join them with a straight line.
To graph the line containing the given pair of points and find the slope, follow these steps:
1. Plot the points on a coordinate plane. The first point is (5, 1), so locate 5 on the x-axis and 1 on the y-axis, then plot a point there. The second point is (-4, -2), so locate -4 on the x-axis and -2 on the y-axis, then plot a point there.
(-4, -2) (5, 1)
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2. Draw a straight line connecting the two points. This line represents the graph of the equation.
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3. To find the slope of the line, use the formula:
slope = (y2 - y1) / (x2 - x1)
For the given points, (x1, y1) = (5, 1) and (x2, y2) = (-4, -2).
slope = (-2 - 1) / (-4 - 5)
= -3 / -9
= 1/3
Thus, the slope of the line is 1/3.