# Equation of a straight line - Intercept form

Not what you're looking for? Search our solutions OR ask your own Custom question.

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

Â© BrainMass Inc. brainmass.com December 24, 2021, 4:59 pm ad1c9bdddfhttps://brainmass.com/math/algebra/equation-of-a-straight-line-intercept-form-20437

## SOLUTION This solution is **FREE** courtesy of BrainMass!

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

https://brainmass.com/math/algebra/equation-of-a-straight-line-intercept-form-20437