Answer :
To determine the slope of the line that contains the points [tex]\((-1, -1)\)[/tex] and [tex]\((3, 15)\)[/tex], we can use the slope formula:
[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
Here, [tex]\((x_1, y_1)\)[/tex] are the coordinates of the first point [tex]\((-1, -1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] are the coordinates of the second point [tex]\((3, 15)\)[/tex].
Step-by-step solution:
1. Identify the coordinates of the given points:
[tex]\[ x_1 = -1, \quad y_1 = -1, \quad x_2 = 3, \quad y_2 = 15 \][/tex]
2. Substitute these values into the slope formula:
[tex]\[ m = \frac{15 - (-1)}{3 - (-1)} \][/tex]
3. Simplify the expression:
[tex]\[ m = \frac{15 + 1}{3 + 1} \][/tex]
4. Perform the arithmetic operations:
[tex]\[ m = \frac{16}{4} \][/tex]
5. Simplify the fraction:
[tex]\[ m = 4 \][/tex]
Therefore, the slope of the line containing the points [tex]\((-1, -1)\)[/tex] and [tex]\((3, 15)\)[/tex] is [tex]\(\boxed{4}\)[/tex]. This corresponds to option D.
[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
Here, [tex]\((x_1, y_1)\)[/tex] are the coordinates of the first point [tex]\((-1, -1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] are the coordinates of the second point [tex]\((3, 15)\)[/tex].
Step-by-step solution:
1. Identify the coordinates of the given points:
[tex]\[ x_1 = -1, \quad y_1 = -1, \quad x_2 = 3, \quad y_2 = 15 \][/tex]
2. Substitute these values into the slope formula:
[tex]\[ m = \frac{15 - (-1)}{3 - (-1)} \][/tex]
3. Simplify the expression:
[tex]\[ m = \frac{15 + 1}{3 + 1} \][/tex]
4. Perform the arithmetic operations:
[tex]\[ m = \frac{16}{4} \][/tex]
5. Simplify the fraction:
[tex]\[ m = 4 \][/tex]
Therefore, the slope of the line containing the points [tex]\((-1, -1)\)[/tex] and [tex]\((3, 15)\)[/tex] is [tex]\(\boxed{4}\)[/tex]. This corresponds to option D.
Answer:
D. 4
Step-by-step explanation:
To find the slope of a line given two points, we can use the slope formula:
m = ( y2-y1)/ (x2-x1) where the two points are in the form ( x1,y1) and (x2,y2).
m = ( 15- -1)/(3- -1)
m = ( 15+1)/(3+1)
m = ( 16)/(4)
m = 4
