Both of those equations are solved for y. So if the first one is equal to y and the second one is equal to y, then the transitive property says that the first one is equal to the second one. We set them equal to each other and solve for x. 4x-5=-3 and 4x = 2. That means that x = 1/2. We were already told that y = -3, so the coordinates for the solution to that system are (1/2, -3), B from above.
comparing the relation given
thus y= -2x +1 to the general equation of a line
where y= mx + c
where m is the gradient and c is the intercept on the y-axis.
from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as

so substituting the value of m in to the equation

=

as the gradient
equation of line is given by
y - y1 = m( x-x1)
from the question y1= -2 and x1=1
substitute them
y-(-2) = 1/2 (x -1)
y+2 =1/2 (x-1)
multiplying through by 2
2 (y+2) = x-1
2y +4 = x-1
2y =x-1-4
2y =x-5
x -2y -5 = 0
therefore the equation for the line is x-2y -5=0
First question , Third option
Second question, 1st option
Step-by-step explanation:
It's B.
. Options A and C are both horizontal shifts and option D would only make the graph steeper, not wider.
Therefore, the answer is B.
Answer:
B.
Answer:

Step-by-step explanation:
as if we form an imaginary triangle with this line as hypotenuse
we get
- base = 3 units
- perpendicular = 4 units
using Pythagoras theorem:-
hyponteuse ² = perpendicular ² + base²
hyp² = 4² + 3²
hyp² = 16 + 9

hyp = 5 units
