write the slope formulas
Answers
Answer:
Step-by-step explanation:
: Identify the values of x_1x
1
x, start subscript, 1, end subscript, x_2x
2
x, start subscript, 2, end subscript, y_1y
1
y, start subscript, 1, end subscript, and y_2y
2
y, start subscript, 2, end subscript.
x_1 = 2x
1
=2x, start subscript, 1, end subscript, equals, 2
y_1 = 1y
1
=1y, start subscript, 1, end subscript, equals, 1
x_2 = 4x
2
=4x, start subscript, 2, end subscript, equals, 4
y_2 = 7 ~~~~~~~~y
2
=7 y, start subscript, 2, end subscript, equals, 7, space, space, space, space, space, space, space, space [Explain]
Step 2: Plug in these values to the slope formula to find the slope.
\text{Slope} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{7 - 1}{4 - 2} = \dfrac62 = 3Slope=
x
2
−x
1
y
2
−y
1
=
4−2
7−1
=
2
6
=3start text, S, l, o, p, e, end text, equals, start fraction, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, divided by, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end fraction, equals, start fraction, 7, minus, 1, divided by, 4, minus, 2, end fraction, equals, start fraction, 6, divided by, 2, end fraction, equals, 3
Step 3: Gut check. Make sure this slope makes sense by thinking about the points on the coordinate plane.