A linear function, f, passes through the points (-3,4) and (2,7).

1 answer:

6 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -3 &,& 4~) 
% (c,d)
&&(~ 2 &,& 7~)
\end{array}
\\\\\\
% slope = m
\stackrel{average~rate~of~change}{slope= m} \implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{7-4}{2-(-3)}\implies \cfrac{7-4}{2+3}\implies \cfrac{3}{5}$

You might be interested in

Reading and writing

krok68 [10]

Reading and Writing ✍

3 0

4 years ago

Hey guys, real fast<br><br><br> how is the derivative of 3xlnx = 3+ln(x^3)

Harman [31]

You will need to use product rule.
The product rule is:
$\frac{d}{dx}[f(x)g(x)] = f'(x)g(x)+f(x)g'(x)$

$\frac{d}{dx}( 3x \ln x) =( \frac{d}{dx}(3x) \cdot \ln x )+ (3x \cdot \frac{d}{dx}(\ln x))\\\\ = 3\ln x + 3x\cdot \frac{1}{x}\\\\=3 \ln x + 3$

This can also be written as (using the log rules):
$3 \ln x + 3 = \boxed{\ln(x^3) + 3}$

4 0

3 years ago

Best answer all points..... Math assignment question....

IrinaK [193]

A parallelogram's definition is a quadrilateral with two sets of parallel lines. This means lines MA and TH are parallel, and AT and MH are parallel. MA's slope is (2-(-3)/(-4-(-1)), or -5/3. TH's slope is (3-8)/(9-6) or -5/3 too. This means they are parallel, as they have the same slope. Do the same with AT and MH, and you get their slopes as 3/5 and 3/5. This means that the whole shape is a quadrilateral.

For the 2nd part, rectangles have sides that meet at right angles, which means that they are perpendicular, and perpendicular lines have slopes that are the negative reciprocals of each other. -5/3 and 3/5 are negative reciprocals of each other, so therefore it is a rectangle.

6 0

3 years ago

Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax u

galina1969 [7]

A had it before tee her

8 0

3 years ago

Hey <br>what is 6/5 ÷ 10/7 in the simplest form possible

d1i1m1o1n [39]

Exact Form: 21/25

Decimal Form: 0.84

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.