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# Equation of a straight line - Intercept form

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The line through (-2,5) with slope 1/2

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The standard equation of a line is:
<br>
<br>y = mx + C
<br>
<br>Where m is the slope, and C is the intercept on the y-axis.
<br>
<br>Each point along this line satisfies this equation.
<br>
<br>It is given that, slope: m = 1/2
<br>We need the intercept c
<br>
<br>We will substitute the given co-ordinates in to the equation y = mx + c
<br>
<br>x = -2, y=5
<br>
<br>====> 5 = (1/2)* -2 + C
<br>
<br>or, 5 = -1 + C
<br>
<br>==> C = 5+1 = 6
<br>
<br>Thus the required equation is,
<br>
<br>y = x * (1/2) + 6
<br>
<br>or, y = (x/2) + 6 ----Answer

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