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aleksandr82 [10.1K]
2 years ago
12

Find the slope of the line in simplest form (8, 9) (-7, 14)

Mathematics
1 answer:
xeze [42]2 years ago
4 0
Slope= -1/3
14-9/-7-8
5/-15
1/-3
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Which equation represents a line that passes through (2,-1/2) and has a slope of 3 ?
Anna11 [10]

Answer:

C. y + \frac{1}{2} = 3(x - 2)

Step-by-step explanation:

Given

Point:  (2,\frac{-1}{2})

Slope: 3

Required

Equation of line

Let m represents the slope of the line;

m is calculated as thus

m = \frac{y - y_1}{x - x_1}

where (x_1,y_1) = (2,\frac{-1}{2})

So; x_1 = 2; y_1 = \frac{-1}{2}

m = 3

By substituting the right values in the formula above;

m = \frac{y - y_1}{x - x_1} becomes

3 = \frac{y - \frac{-1}{2}}{x - 2}

Multiply both sides by (x - 2)

3 *(x - 2) = \frac{y - \frac{-1}{2}}{x - 2} *(x - 2)

3 *(x - 2) = (y - \frac{-1}{2})

3 *(x - 2) = (y + \frac{1}{2})

3(x - 2) = (y + \frac{1}{2})

3(x - 2) = y + \frac{1}{2}

Reorder

y + \frac{1}{2} = 3(x - 2)

Hence, the equation that represents the line is y + \frac{1}{2} = 3(x - 2)

4 0
3 years ago
HELP ME POR FAVOR PLEASE PLEASEE
Basile [38]

Answer:

                 x=8\frac34\ \,,\quad y=8\frac12

Step-by-step explanation:

             \Delta TRS\sim \Delta LJK \quad\implies\quad \dfrac{|TR|}{|LJ|}=\dfrac{|RS|}{|JK|}=\dfrac{|ST|}{|KL|}\\\\\dfrac{4}{7}=\dfrac{5}{x}=\dfrac{6}{y+2}\\\\\\\dfrac{4}{7}=\dfrac{5}{x}\quad\implies\quad4x=5\cdot7\quad\implies\quad x=\dfrac{35}4=8\frac34\\\\\\\dfrac{5}{x}=\dfrac{6}{y+2}\quad\implies\quad 5(y+2)=6\cdot\dfrac{35}4\\\\5y+10=3\cdot\dfrac{35}2\\\\5y\ =\ \dfrac{3\cdot35}2-10\\ \div5\qquad\quad \div5\\\\y=\dfrac{3\cdot7}2-2=10\frac12-2=8\frac12

3 0
3 years ago
Deandra is doing her math homework. Out of 24 problems total, she completed the first 12 problems in 1 hour and the last 12 in 3
Bezzdna [24]

Answer:

6 problems per hour

Step-by-step explanation:

Total problems = 24

she completed the first 12 problems in 1 hour

The last 12 in 3 hours.

Total time = 1 hour + 3 hours

= 4 hours

unit rate for all 24 problems = total number of problems / total time taken

= 24 problems / 4 hours

= 6 problems per hour

8 0
2 years ago
Alex runs on the track at school each weekday morning. If he runs 5.9 miles each day, about how much does he run every month?
Lisa [10]
Now, since we know that 5.9 is the amount of miles per day, we need to determine how many miles per month.

Usually, there are 20 days...because of no weekdays

Multiply.

5.9 * 20 = 118

Final answer:- He runs 118 miles per month. 

3 0
3 years ago
Read 2 more answers
Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pou
Bond [772]

Answer:

peanut butter cookies:8

sugar cookies:2

chocolate chip cookies:5

ratio: 4:1:2.5

Step-by-step explanation:

x=peanut butter cookies

y=sugar cookies

a=chocolate chip cookies

40=2x+3y+3.6a

15=x+y+a

x=a+3

15=(a+3)+y+a

y=12-2a

40=2(a+3)+3(12-2a)+3.6a

a=5

x=8

y=2

5 0
3 years ago
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