All categories

3 years ago

Type the equation of the linear function that passes through the two given points:

Mathematics

1 answer:

Citrus2011 [14]3 years ago

7 0

Answer:

Slope-intercept form of the line:

y = mx + b

Point-slope form of the line:

y - y1 = m(x - x1)

------------------------------------

Points:

(2;9) (4,17)

The slope:

m = (17 - 9)/(4 - 2) = 4

The line:

y - 9 = 4(x - 2)
y = 4x - 8 + 9
y = 4x + 1

----------------------------------

Points:

(3; -17) (-3;13 )

The slope:

m = (13 - (-17)) / (-3 - 3) = 4/ -6 = -2/3

The line:

y - (-17) = -2/3(x - 3)
y = -2/3x + 2 - 17
y = -2/3x - 15

You might be interested in

How to calculate the perpendicular distance from a line produced?? Thanks!!!

kykrilka [37]

Answer:d=a2+b2 ∣a(x0)+b(y0)+c∣. So given a line of the form a x + b y + c ax+by+c ax+by+c and a point ( x 0 , y 0 ) , (x_{0},y_{0}), (x0,y0), the perpendicular distance can be found by the above formula.

Step-by-step explanation:

if that is any help

4 0

3 years ago

If you know the measure of one of the 8 angles, you can find the measure of all of the others. Try it. The measure of <1 = 12

MariettaO [177]

Answer:

$\angle 2 =60$

$\angle 3 = 60$

$\angle 4 = 120$

$\angle 5 = 120$

$\angle 6 = 60$

$\angle 7 = 60$

$\angle 8 = 120$

Step-by-step explanation:

Given

$\angle 1 = 120^\circ$

See attachment

Required

Determine the other angles

$\angle 1$ and $\angle 2$ are on a straight line.

So;

$\angle 1 + \angle 2 =180$

Make $\angle 2$ the subject

$\angle 2 =180 - \angle 1$

$\angle 2 =180 - 120$

$\angle 2 =60$

$\angle 1$ , $\angle 4$ , $\angle 5$ and $\angle 8$ are corresponding angles.

So;

$\angle 4 =\angle 1 = 120$

$\angle 5 =\angle 1 = 120$

$\angle 8 =\angle 1 = 120$

Similarly; $\angle 2$ , $\angle 3$ , $\angle 6$ and $\angle 7$ are corresponding angles.

So;

$\angle 3 =\angle 2 = 60$

$\angle 6 =\angle 2 = 60$

$\angle 7 =\angle 2 = 60$

8 0

3 years ago

Solve and explain the steps (please)

Yakvenalex [24]

Answer:

x = -9

Step-by-step explanation:

First you want to try to get the x "by itself".

1. Subtract 7 from the left side

7+ $\frac{2}{3}$ x = -1

-7+ $\frac{2}{3}$ x=+7

$\frac{2}{3}$ x = 6

2. Divide $\frac{2}{3}$ x by $\frac{2}{3}$ .

$\frac{3}{2}$ × $\frac{2}{3}$ x = 6

x=6 $\frac{3}{2}$

x=9

Hope this helps and have a wonderful day :D

3 0

3 years ago

Divide.Round to the nearest tenth. .16÷.03220

kipiarov [429]

The answer is 4.968 so rounded it would be 5.

3 0

3 years ago

Read 2 more answers

What is the slope of a line that is perpendicular to the line whose equation is 2x + y = 4

wel

The slope of the line of the equation given is -2 (by solving for y, you get y = -2x+4).

So, in order to be perpendicular, you must take the negative reciprocal.

The slope would be -1/2.

6 0

3 years ago

Read 2 more answers