Question

At what points the graph of the line 6x + 5y = 30 cuts the x-axis and the y-axis.​

Answer 1

Answer:

it cuts x axis at (5,0)

it cuts y axis at (0,6)

Step-by-step explanation:

all points on the x axis are of the form (a,0)

so (a,0) satisfies the equation

=> 6a + 0 =30

=> a=5

therefore it cuts x axis at (5,0)

all point on the y axis are of the form (0,b)

so (0,b) satisfies the equation

=> 0 + 5b = 30

=> b = 6

therefore it cuts y axis at (0,6)

Hope it helps :)