Question

a) Find the coordinates of the point where y - 4x = 1 crosses the y-axis. b) The diagram shows the graph of y = 2x + c, where c is a constant. Find the value of k. Optional working -3 X (k, 10) X k Ansv +​

Answer 1

Answer:

a) (0,1)

$\sf b) k = \dfrac{13}{2}$

Step-by-step explanation:

a) The x co-ordinate where the line (y -4x = 1) crosses the y-axis is zero.

       y - 4*0 = 1

             y = 1

co-ordinates (0,1)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

b) y = 2x + c

Compare with y = mx + c.

⇒ m = 2

Two points from the graph: (k , 10) & (0,-3)

Substitute the value of m and the two points in the below formulae and find the value of k.

        $\sf slope =\dfrac{y_2 -y_1}{x_2-x_1}$

       $\dfrac{-3-10}{0-k}=2\\\\\dfrac{-13}{-k}=2\\\\\\\dfrac{13}{k}=2\\\\\\Cross \ multiply,$

              13 = 2k

              $\sf\boxed{ \bf k =\dfrac{13}{2}}$