Ask question

Ask question

All categories

2 years ago

13

PLEASE HELP I WILL GIVE BRAINLEIST PLEASE ALSO SHOW STEPS!!!!!!

1 answer:

julia-pushkina [17]2 years ago

4 0

Answer:

The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

y = -7x-2

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given

The point (-1, 5)

Slope m = -7

substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation

$y = mx+b$

5 = -7(-1) + b

5 = 7+b

b = 5-7

b = -2

Thus, the y-intercept is: b = -2

now substituting b = -2 and m = -7 in the slope-intercept form of the line equation

y = mx+b

y = -7x+(-2)

y = -7x-2

Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

y = -7x-2

You might be interested in

this graph shows the amount of rain that falls in a given amount of time. what is the slope of the line and what does it mean in

Galina-37 [17]

Answer:

-5/-2 or 2.5

Step-by-step explanation:

Because you gave two points that I'm guessing are from the graph I think that's the answer. Because when you use the slope formula y2-y1 over x2 - x1 you get -5/-2 or you either get 2.5 meaning that is the slope specifically saying the rate of change. You get 2.5 when you divide -5/-2 incase you need a decimal or want to simplfy it.

4 0

7 months ago

Read 2 more answers

Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter

Rudik [331]

Answer:

$y=-6x+10$

Step-by-step explanation:

The point of intersection of

$x+2y=9...eqn1$

and

$4x-2y=-4...eqn2$

is the solution of the two equations.

We add equation (1) and equation(2) to get,

$x+4x+2y-2y=9+-4$

$\Rightarrow 5x=5$

$\Rightarrow x=1$

We put $x=1$ into equation (1) to get,

$1+2y=9$

$\Rightarrow 2y=9-1$

$\Rightarrow 2y=8$

$\Rightarrow y=4$

Therefore the line passes through the point, $(1,4)$ .

The line also passes through the point of intersection of

$3x-4y=14...eqn(3)$

and

$3x+7y=-8...eqn(4)$

We subtract equation (3) from equation (4) to obtain,

$3x-3x+7y--4y=-8-14$

$\Rightarrow 11y=-22$

$\Rightarrow y=-2$

We substitute this value into equation (4) to get,

$3x+7(-2)=-8$

$3x-14=-8$

$3x=-8+14$

$3x=6$

$x=2$

The line also passes through

$(2,-2)$

The slope of the line is

$slope=\frac{4--2}{1-2} =\frac{6}{-1}=-6$

The equation of the line is

$y+2=-6(x-2)$

$y+2=-6x+12$

$y=-6x+10$ is the required equation

4 0

3 years ago

120 miles in 1 3/4 hours as a unit rate

Zarrin [17]

9514 1404 393

Answer:

68 4/7 miles/hour

Step-by-step explanation:

The unit rate is found by dividing miles by hours:

(120 miles)/(7/4 hours) = 480/7 miles/hour = 68 4/7 miles/hour

6 0

2 years ago

BRAINLIEST + POINTS! EASY PLEASE EXPLAIN!

dmitriy555 [2]

An upper extreme is the highest number on the number line give. So the Upper extreme is 11

6 0

2 years ago

Read 2 more answers

WILL GIVE BRAINLIEST! 7th GRADE MATH

AysviL [449]

Answer:

Option (4)

Step-by-step explanation:

Point A is located at (0, 4) and point C is located at (-3, 5).

Let the point B is located at $\frac{1}{4}$ the distance from A and C.

In other words ratio of the segments AB and BC = m : n = 1 : 3

Coordinates of a point (x, y) which divides a segment having ends $(x_1,y_1)$ and $(x_2,y_2)$ = $(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

If the ends of the segment are (0, 4) and (-3, 5), coordinates of point B will be

= $(\frac{1(-3)+4(0)}{1+3},\frac{1(5)+4(4)}{1+3})$

= $(-\frac{3}{3}, \frac{21}{3})$

= (-1, 7)

Option (4) will be the answer.

6 0

3 years ago