Solve the top equation to get on variable on one side
2x-y=6
-y=-2x+6
y=2x-6
then plug in the coordinate for x and y for both equations. if both equations are true then it’s a solution
2=2(2)+6
2=10

4+2=6

so it’s not a solution

4 0

3 years ago

Find the equation of the line using the point-slope forumla. Write the final equation using the slope-intercept form. parallel t

Greeley [361]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 3x - 2 is in this form with slope m = 3

• Parallel lines have equal slopes

Hence the slope of the parallel line = 3

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 3 and (a, b) = (- 3, - 14), hence

y + 14 = 3(x + 3) ← in point- slope form

Distribute and simplify

y + 14 = 3x + 9 ( subtract 14 from both sides )

y = 3x - 5 ← in slope- intercept form

6 0

3 years ago

Factor each expression. Problem: 2p^3 + 6p^2 + 3p + 9 Answer: (p + 3) (2p2 + 3)

oee [108]

Factor by grouping
$2p^3 + 6p^2 + 3p + 9$
$2 p^3+6 p^2+3 p+9=\left(2 p^3+6 p^2\right)+(3 p+9)=\left(2 p^2\right) (p+3)+3 (p+3)$
$2 p^2 (p+3)+3 (p+3)$
$(p+3) \left(2 p^2+3\right)$

4 0

3 years ago

What is the average rate of change for 5/6 and 15/14

andreev551 [17]

Answer:

Average rate of change is 0.80.

Step-by-step explanation:

Given:

The two points given are (5, 6) and (15, 14).

Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.

The average rate of change for two points $(x_1,y_1)\ and\ (x_2,y_2)$ is given as:

$R=\frac{y_2-y_1}{x_2-x_1}$

Plug in $x_1=5,x_2=15,y_1=6,y_2=14$ and solve for 'R'. This gives,

$R= \frac{14-6}{15-5}\\\\R=\frac{8}{10}\\\\R=0.80$

Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.

5 0

3 years ago