Answer:

Step-by-step explanation:
Vertex form:
where:
is the vertex
is some constant
Given:
- vertex = (-4, -1)
- point on parabola = (-2, -3)
Substitute given values into the formula to find
:





Therefore, the equation of the parabola is:

Every point on the line 3/7x -1 is a solution
Unless there is another line provided...
Answer:
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles. The adjacent angles are the angles which have a common vertex.
Answer: y = 2x/3 - 5
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent.
The given line has a slope of 2/3 and it passes through (0,- 5)
To determine the intercept, we would substitute x = 0, y = - 5 and m= 2/3 into y = mx + c. It becomes
- 5 = 3/2 × 0 + c
c = - 5
The equation becomes
y = 2x/3 - 5