Question

Which equation describes this line?

Answer 1

the y intercept is 10

the gradient is

13-4/1--2

9/3

the gradient is 3

the equation of the line is y = 3x + 10

the answer is A (you just have to expand and simplify each one to see what gives u y = 3x+10)

Answer 2

Answer: A. $y-4=3(x+2)$

Step-by-step explanation:

The equation of a line passing through two points (a,b) and (c,d) is given by :-

$(y-b)=\dfrac{d-b}{c-a}(x-a)$

Then the equation of a line passing through two points (-2,4) and (1,13) is given by :-

$(y-4)=\dfrac{13-4}{1-(-2)}(x-(-2))\\\\\Righatrrwo\ y-4=\dfrac{9}{3}(x+2)\\\\\Rightarrow\ y-4=3(x+2)$

Hence, the equation describes the given line :-

$y-4=3(x+2)$