The slope between two points A and B is given by the formula:
[tex]m=\frac{y_B-y_A}{x_B-x_A}[/tex]
Replace the coordinates of the given points (1,1) and (-4,-3) to find the slope between those two points:
[tex]m=\frac{(1)-(-3)}{(1)-(-4)}=\frac{1+3}{1+4}=\frac{4}{5}[/tex]
Plot the points (1,1) and (-4,-3). Then, draw the line through them:
Notice that the line goes up by 4 units for each 5 units that it goes to the right. This confirms that the slope is 4/5.
Therefore, the value of the slope of the line that passes through the points (1,1) and (-4,-3) is 4/5.
