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

Feb 4, 2016

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

#### Explanation:

Given:$\text{ } - 14 y + 4 x = 7$

Rewrite as:$\text{ } 14 y = 4 x - 7$

Divide both sides by 14

$y = \frac{4}{14} x - \frac{7}{14}$

$y = \frac{2}{7} x - \frac{1}{2}$...................(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)

$0 = \frac{2}{7} x - \frac{1}{2}$

$\frac{2}{7} x = \frac{1}{2}$

$x = \frac{7 \times 1}{2 \times 2} = \frac{7}{4} = 1 \frac{3}{4}$

${x}_{\text{intercept}} = 1 \frac{3}{4}$
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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)

$y = \left(\frac{2}{7} \times 0\right) - \frac{1}{2}$

${y}_{\text{intercept}} = - \frac{1}{2}$
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