Answer:
y = 6x + 1
Step-by-step explanation:
linear equations (straight line) are expressed in the following general form:
y = mx + b, where m is the gradient and b is the y-ordinate of the point where the line crosses the y-axis (called the y-intercept)
Given : m = 6
we realize that point (0,1) is actually on the y-axis (i.e x=0), therefore this is coincidentally the y-intercept. Hence b = 1
Therefore the whole equation is
y = 6x + 1
Question 5 and 6 are the same.
Answer:
The coefficient of the squared term of the equation is 1/9.
Step-by-step explanation:
We are given that the vertex of the parabola is at (-2, -3). We also know that when the <em>y-</em>value is -2, the <em>x-</em>value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.
Since we are given the vertex, we can use the vertex form:

Where <em>a</em> is the leading coefficient and (<em>h, k</em>) is the vertex.
Since the vertex is (-2, -3), <em>h</em> = -2 and <em>k</em> = -3:

Simplify:

We are also given that <em>y</em> = -2 when <em>x</em> = -5. Substitute:

Solve for <em>a</em>. Simplify:

Therefore, our full vertex equation is:

We can expand:

Simplify:

The coefficient of the squared term of the equation is 1/9.
Answer:
A. 2.9
B.121.6
C.3.34
D. (sorry i don't know this one.
E.i don't know this one either
F.24.61
Part 1: should be C. Because the question said 1.2 added to a number.
Part 2:16.8