Question

Graph 8x - 4y = 16, then find its x-intercept & y-intercept.

Answer 1

The y-intercept of an equation is where its graph intersects the y-axis - this happens at x = 0; therefore, putting in x =0 should give us the y-intercept.

Putting in x = 0 gives

`8(0)-4y=16`
`\rightarrow-4y=16`

`\therefore y=-4.`

Hence, the y-intercept is y = -4.

The x-intercept of an equation is where its graph intersects the x-axis - this happens where y = 0; therefore, the x-intercept is found by putting in y =0:

`8x-4(0)=16`
`\rightarrow8x=16`
`\therefore x=2.`

Hence, the x-intercept is x = 2.

The graph is attached below.