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guajiro [1.7K]
3 years ago
5

The slope in decimal form ? ​

Mathematics
2 answers:
Jet001 [13]3 years ago
5 0

Answer:

-2

Step-by-step explanation:

Let's get two coordinate points and plug into the slope equation.

(1,2) and (.5,1)

(y_{2} - y_{1})  / (x_{2} - x_{1} )

(1-2) / (.5 - 1)

1 / (-.5)

-2

bogdanovich [222]3 years ago
4 0

Answer:

2

Step-by-step explanation:

Look at two points on the graph that are easy to read.

(0, 0) and (1, 2) are on the graph and are easy to read.

slope = (y2 - y1)/(x2 - x1) = (2 - 0)/(1 - 0) = 2/1 = 2

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Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

m_1=\frac{7-0}{3-0}=\frac{7}{3}

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)

The slope of the line joining E(7,0), and F(3,7). is:

m_1=\frac{7-0}{3-7}=-\frac{7}{4}

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

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If the pattern continues, so that each term is separated by a distance of 3, then the sequence is given by the recursive rule

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From this definition, we can write a_n in terms of a_1:

a_2=a_1+3

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