Question

Find where the line 2y - 3x - 7=0 intersects the:
i y-axis
ii x-axis

Answer 1

Answer is y axis = 3.5 and x axis = - 2 1/3

Step by step

First I changed this to standard form by moving -7 to the other side of = changing it to a +7

2y - 3x = 7

To find y intercept from standard form, substitute 0 for x and solve

2y (-3)(0) = 7
2y = 7
Divide both sides by 2 to solve
2/2 y = 7/2
y = 3.5

To find x intercept from standard form, substitute 0 for y and solve

(2)(0) -3x = 7

-3x = 7

Divide both sides by -3 to solve for x

-3/-3 x = 7/-3

x = - 2 1/3

Answer 2

i = 7/2

ii = -7/3

Explanation:

The line intersects one of the two axis when the vale of the other axis is 0

When x=0:

2y - 7 = 0

2y = 7

y = 7/2

When y = 0

-3x - 7 = 0

-3x = 7

x= -7/3