Question

Hello could you please help me on questions 2 and 4 I don't understand them?

Answer 1

Given:

2. (2, 4), slope 2

we will write the equation of the line that passes through the point (2, 4) and has slope = 2

We will write the equation of the line using the point-slope form which is:

$y-k=m\cdot(x-h)$

where (m) is the slope and the point (h, k)

so,

m = 2

h = 2

k = 4

So, the equation will be:

$\begin{gathered} y-4=2(x-2) \\ y-4=2x-4 \\ y=2x \end{gathered}$

so, the answer will be the equation of the line is:

$y=2x$