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3 years ago

Assignment

Mathematics

1 answer:

lisov135 [29]3 years ago

3 0

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b).

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points A(0, -4) → b = -4 and B(6, 2).

Calculate the slope:

$m=\dfrac{2-(-4)}{6-0}=\dfrac{6}{6}=1$

Put the value of m and of b to the equation:

$y=1x-4$ <em>add 4 to both sides</em>

$y+4=x$

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Answer:

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4 years ago

A video game store allows customers to rent games for $4.75 each. Customers can also buy a membership for $54 each year, and vid

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4 years ago

Graph of function F(t) close as possible the value of F(-2)

scoundrel [369]

Answer:

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3 years ago

a line passes through (9, –9) and (10, –5).write an equation for the line in point-slope form. rewrite the equation in standard

Cerrena [4.2K]

The equation of the line in point-slope form is given by:
$y-yo = m (x-xo)
$
Where,
(xo, yo): point that belongs to the line
m: slope of the line
The slope is given by:
$m = \frac{y2-y1}{x2-x1}$
Substituting values:
$m = \frac{-5-(-9)}{10-9}$
Rewriting:
$m = \frac{-5+9}{10-9}$
$m = \frac{4}{1}$
$m=4$
Now we choose an ordered pair:
$(xo, yo) = (10, -5)
$
Substituting values we have:
$y-(-5)=4(x-10)$
$y+5=4(x-10)$
We now rewrite the equation in its standard form:
$y = mx + b
$
Where,
b: cut with the y axis.
We have then:
$y = 4x - 40 - 5

y = 4x - 45$
Answer:
point-slope form:
$y+5=4(x-10)$
or
$y+9=4(x-9)$
standard form
$y = 4x- 45$