Mathematics, 30.06.2019 04:00 naomicervero

Write an equation in slope intercept form of a line that passes through the point (14,8) and is (a) parallel (b) perpendicular to the line that passes through the points (4,9) and (-3,6)

Answers: 1

Show answers

Answers

Answer from: ayoismeisalex

Equation in slope intercept form (parallel line)

$y=\frac{3}{7}x+2\\$

Equation of perpendicular line in slope intercept form is

$y=-\frac{7}{3}x+\frac{122}{3}$

Given :

an equation in slope intercept form of a line that passes through the point (14,8)

Two given points are (4,9) and (-3,6)

Lets find out the slope of the given two points

$slope =\frac{y_2-y_1}{x_2-x_1} =\frac{6-9}{-3-4}=\frac{3}{7}$

Slope of parallel lines are same. So we use the above slope to find the equation of parallel line

The line passes through the point (14,8)

Equation of line is

y-y1=m(x-x1)

use the slope m= 3/7 and point (14,8)

$y-8=\frac{3}{7} (x-14)\\y-8=\frac{3}{7}x-6\\y=\frac{3}{7}x-6+8\\y=\frac{3}{7}x+2\\$

Slope of perpendicular lines are negative reciprocal of one another

Slope of perpendicular line is $\frac{-7}{3}$

Now we find equation of line that passes through the point (14,8) and slope -7/3

$y-8=\frac{-7}{3} (x-14)\\y-8=-\frac{7}{3}x+\frac{98}{3}\\y=-\frac{7}{3}x+\frac{98}{3}+8\\y=\frac{122}{3}-\frac{7}{3}x\\$

Learn more : link

Answer from: smkw04p3ao0n

Slope-intercept form:

y = mx + b "m" is the slope, "b" is the y-intercept (the y value when x = 0)

First find the slope of the line that passes through (4,9) and (-3,6).

Use the slope formula and plug in the two points:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{6-9}{-3-4}$

$m=\frac{-3}{-7} =\frac{3}{7}$

A.) For lines to be parallel, their slopes have to be the same.

Since the given line's slope is 3/7, the parallel line's slope is also 3/7

y = 3/7x + b To find "b", plug in the point (14,8) into the equation

8 = 3/7(14) + b

8 = 42/7 + b

8 = 6 + b Subtract 6 on both sides

2 = b

$y=\frac{3}{7}x+2$

B.) For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)

For example:

slope is 3

perpendicular line's slope is -1/3

slope is -2/3

perpendicular line's slope is 3/2

Since the given line's slope is 3/7, the perpendicular line's slope is -7/3

y = -7/3x + b Plug in (14, 8) to find "b"

8 = -7/3(14) + b

8 = -98/3 + b Add 98/3 on both sides

8 + 98/3 = b Make the denominators the same

24/3 + 98/3 = b

122/3 = b

$y=-\frac{7}{3}x+\frac{122}{3}$

Answer from: Quest

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

hope this !

Answer from: Quest

Iwould say false, not positive but if prices went up for both stores, technically there will be less buyers?

Another question on Mathematics

Mathematics, 21.06.2019 17:30

Mrs. morton has a special reward system for her class. when all her students behave well, she rewards them by putting 3 marbles into a marble jar. when the jar has 100 or more marbles, the students have a party. right now, the the jar has 24 marbles. how could mrs. morton reward the class in order for the students to have a party?

Answers: 3

Answer

Mathematics, 21.06.2019 23:00

Someone answer this asap for the function f(x) and g(x) are both quadratic functions. f(x) = x² + 2x + 5 g(x) = x² + 2x - 1 which statement best describes the graph of g(x) compared to the graph of f(x)? a. the graph of g(x) is the graph of f(x) shifted down 1 units. b. the graph of g(x) is the graph of f(x) shifted down 6 units. c. the graph of g(x) is the graph of f(x) shifted to the right 1 unit. d. the graph of g(x) is the graph of f(x) shifted tothe right 6 units.

Answers: 3

Answer

Mathematics, 21.06.2019 23:10

The input to the function is x and the output is y. write the function such that x can be a vector (use element-by-element operations). a) use the function to calculate y(-1.5) and y(5). b) use the function to make a plot of the function y(x) for -2 ≤ x ≤ 6.

Answers: 1

Answer

Mathematics, 21.06.2019 23:30

The volume of a box varies directly with its length if a box in the group has a length of 30inches and k=24 what is its volume

Answers: 1

Answer

You know the right answer?

Write an equation in slope intercept form of a line that passes through the point (14,8) and is (a)...

Questions