Question

The graph of the linear equation 5x + 2y = 10 is a line which meets the y-axis at the point:a) (0, -5) b) (5, 0) c) (-5, 0) d) (0, 5)​

Answer 1

Answer:

(5,0)

Step-by-step explanation:

This is a equation is an equation of a straight line. If this line meets the x-axis, then its y- coordinate will be zero. So, this line meets the x-axis at (5,0).

Answer 2

Answer:

It is d) 0,5

Step-by-step explanation:

y- axis also known as the y intercept is c

the equation of many lines is formed this way

y=MX+c

m is the gradient

c is the y intercept

5x+2y=10

2y= 10-5x

y = (10-5x)/2

y= 5-2.5x

this can also be written as

y= -2.5x +5

m is -2.5 and c is 5

If the y intercept is 5, it means it touches the y axis at the position 5 of the y axis.

the line can only touch the axis if the point would be at x=0

therefore, the y intercept is (0,5) aka option d in the question