Find an equation for the line that passes through the points (4,3) and (-6,5)

Mathematics

1 answer:

mixer [17]3 years ago

7 0

Answer:

y = -1/5x + 19/5 or

x + 5y = 19.

Step-by-step explanation:

The slope of the line (m) = (5-3) / (-6-4)

= -1/5.

Using the point-slope form of the equation of a line:

y - y1 = m(x - x1) m = -1/5. x1 = 4 and y1 = 3 , so:

y - 3 = -1/5(x - 4)

y - 3 = -1/5x + 4/5

y = -1/5x + 19/5 which is the equation in slope-intercept form.

Converting to standard form ( multiplying by 5):

5y = -x + 19

x + 5y = 19.

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Simplify the algebraic expression -5(6x)

WINSTONCH [101]

Answer:

-30x

Step-by-step explanation:

The parenthesis is just to multiply, and you can combine like terms. So -5*6=-30, which you multiply with x to get -30x.

5 0

3 years ago

On the following number line, two rational numbers are graphed.Represent the two numbers as fractions (or mixed numbers) in lowe

nordsb [41]

The first graphed rational number is at the middle of -2 and -1, thus the number represented is $-1 \frac{1}{2}$

The second graphed number is five out of six places from from 0 to 1, thus the number graphed is $0+ \frac{5}{6} = \frac{5}{6}$

The difference between the two numbers can be represented as
$-1 \frac{1}{2} - \frac{5}{6}$
or
$\frac{5}{6} -(-1 \frac{1}{2} )= \frac{5}{6} +1 \frac{1}{2}$

To find the difference,

$-1 \frac{1}{2} - \frac{5}{6} \\ \\ =-1 \frac{3+5}{6} \\ \\ =-1 \frac{8}{6} =-2 \frac{2}{6} \\ \\ =-2 \frac{1}{3}$

Also,

$\frac{5}{6} +1 \frac{1}{2} \\ \\ =1 \frac{5+3}{6} \\ \\ =1 \frac{8}{6} =2 \frac{2}{6} \\ \\ =2 \frac{1}{6}$