Find and review the slope formula.

The slope of a line segment that connects the points (a, b) and (c, d) is
d-b
m = --------------
c-a

Write out this formula for a=-3, b=-4, c=6 and d=-1.

3 0

2 years ago

Which of the following is a correct equation for the line passing through the

kipiarov [429]

Answer:

$2x-3y=-12$

Step-by-step explanation:

We can use the point-slope formula given by:

$y-y_1=m(x-x_1)$

The given line passes through the

point (-3,2) and having slope $m=\frac{2}{3}$ .

We substitute the given point and slope to get:

$y-2=\frac{2}{3}(x--3)$

$y-2=\frac{2}{3}(x+3)$

we clear the fraction to get;

$3y-6=2(x+3)$

$3y-6=2x+6$

$3y-2x=6+6$

$3y-2x=12$

Or in standard form:

$2x-3y=-12$

8 0

2 years ago

-4x – 2y=-12<br> 4x + 8y=-24<br> Solve each system by elimination

kirza4 [7]

Answer:

x = 6 and y = - 6

Step-by-step explanation:

- 4 x - 2 y = -12.......equ No 1

4 x + 8y = - 24.......equ No 2

Adding equ No 1 and equ No 2

6 y = - 36

∴ y = - 6

substitute y = - 6 in equ No 2

4 x + 8 y = -24

4 x + 8 ×( -6) = - 24

4 x - 48 = -24

4 x = -24 + 48

4 x = 24

∴ x = 6

x = 6 and y = - 6

7 0

2 years ago

A radar gun was used to record the speed of a runner (in meters per second) during selected times in the first 2 seconds of a ra

Pavlova-9 [17]

Answer:

Step-by-step explanation:

See image

6 0

2 years ago