05.01 MC)
Determine the equation of the line with slope −2 that passes through the point M(−1, −3). (5 points)

Question 2 options:

1)

2x + y = −5

2)

2x − y = −5

3)

x − 2y = 5

4)

x − 2y = −5

2x+y=-5, or 2

Step-by-step explanation:

The formula to find the equation of a line is y-y1=m(x-x1)

We will use that formula, and plug in the coordinates and slope.

y-(-3)=-2(x-(-1))

From here, we can simplify the equation.

y+3=-2(x+1)

y+3=-2x-2

y+2x=-2-3

y+2x=-5

step-by-step explanation:

1. the cylinder is a. 54

2.   a.108 /

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions