Question

What are the intercepts of `-14y+4x=7`?

Answer 1

`y_("intercept")=-1/2" "` `" "x_("intercept")=1 3/4`

Explanation:

Given:`" " -14y+4x=7`

Rewrite as:`" "14y=4x-7`

Divide both sides by 14

`y=4/14x-7/14`

`y=2/7x-1/2`...................(1)
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The x-intercept is when the graph 'crosses' the x-axis
and it crosses the x-axis at `y=0`

To find the x-intercept substitute `y=0` into equation (1)

`0=2/7x-1/2`

`2/7x=1/2`

`x=(7xx1)/(2xx2) = 7/4 = 1 3/4`

`x_("intercept")=1 3/4`
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The y-intercept is when the graph 'crosses' the y-axis' and it crosses the y-axis at `x=0`

To find the y-intercept substitute `c=0` into equation (1)

`y=(2/7xx0)-1/2`

`y_("intercept")=-1/2`
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