Question and choices are in the photo please explain the answer

A

Step-by-step explanation:

For this question, you want to use y=mx+c, where m is the gradient and c is the y-intercept.

We can see the line passes through (-4, 6) and (-1,2), so we can use those points to work out the gradient.

The formula for gradient is m=.  By substituting the values above, you get m=, which becomes or .

Since we can't exactly determine the y-intercept from the photo, we can sub it in to what we already know to work it out.

Using the point (-4, 6), y=x+c can be written as 6=(-4)+c.

This can be expanded to 6=+c or 6=+c.

Subtracting from both sides gives c=.

Putting this all back in the question, we get y= x+, or A.

**This question involves writing linear equations, which you may want to revise. I'm always happy to help!

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

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²