Answer:
a) (0,1)
[tex]\sf b) k = \dfrac{13}{2}[/tex]
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.
[tex]\sf slope =\dfrac{y_2 -y_1}{x_2-x_1}[/tex]
[tex]\dfrac{-3-10}{0-k}=2\\\\\dfrac{-13}{-k}=2\\\\\\\dfrac{13}{k}=2\\\\\\Cross \ multiply,\\\\[/tex]
13 = 2k
[tex]\sf\boxed{ \bf k =\dfrac{13}{2}}\\\\[/tex]
