Explore BrainMass

Explore BrainMass

    Equation of a straight line - Intercept form

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

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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

    © BrainMass Inc. brainmass.com December 24, 2021, 4:59 pm ad1c9bdddf
    https://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

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 4:59 pm ad1c9bdddf>
    https://brainmass.com/math/algebra/equation-of-a-straight-line-intercept-form-20437

    ADVERTISEMENT