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3 years ago

A line through (-1,1) and (2,3) in slope intercept form

Mathematics

1 answer:

Lemur [1.5K]3 years ago

8 0

Point slope form is y = mx + b
yor expression is y=2/3 x + b

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Sean is learning to scuba dive. The equation D = 20L + 15 represents the depth he can dive in feet, D, based on the number of le

Stels [109]

Answer:

Sean can dive 275 feet after he takes 13 lessons.

Step-by-step explanation:

Since L means the number of lessons taken, we will have:

D = 20*13 + 15

D = 260 +15

D = 275

4 0

3 years ago

Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)

LenaWriter [7]

Answer:

The slope-intercept form of the line equation is:

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

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 points

(-1, -2)

(3, 4)

Determining the slope between (-1, -2) and (3, 4)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)$

$m=\frac{4-\left(-2\right)}{3-\left(-1\right)}$

$m=\frac{3}{2}$

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

$4=\frac{3}{2}\left(3\right)+b$

switch sides

$\frac{3}{2}\left(3\right)+b=4$

$\frac{9}{2}+b=4$

subtract 9/2 from both sides

$\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}$

$b=-\frac{1}{2}$

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

$y = mx+b$

$y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)$

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

Therefore, the slope-intercept form of the line equation is:

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

8 0

2 years ago

Really need help please! Brainliest to correct!

vovikov84 [41]

Let's say "m" is the manufactoring cost per drill (in dollars).

Then the manufactorer sells it for $4 more, so this would be:

m+4

Then the chain store sells it for 140% of the price is paid the manufactorer, so this would be "140% of (m+4)" which translates to "1.4•(m+4)" or more simply:

1.4(m+4)

P(m) = 1.4(m+4), where m is the initial manufactoring cost (in dollars).

Simplifying, you could rewrite this as:

P(m) = 1.4m + 5.6

7 0

2 years ago

The Junior Beta club needs to raise $1513.75 to go to a national convention. If they decided to sell candy bars at $1.25 each, h

rusak2 [61]

Answer:

1,211 candy bars.

Step-by-step explanation:

You divide the goal by how much the bars are selling for, or 1513.75/1.25. The answer to this is 1,211 candy bars.

4 0

3 years ago

Read 2 more answers

Help with this immediately

charle [14.2K]

x= 2

Step-by-step explanation:

The answer for what does x= is,

x = 2

6 0

3 years ago