Maths-
General
Easy

Question

Write the equation in slope-intercept form of the line that passes through the points open parentheses 3 over 8 comma 0 close parentheses straight & open parentheses 5 over 8 comma 1 half close parentheses

hintHint:

The slope-intercept form of a line is y = mx + c, where m Is the slope of the line and c is the y- intercept. You obtain the value of y-intercept when you take x = 0.
We are asked to find the equation of the line passing through the given points in the slope intercept form.

The correct answer is: y equals 2 x minus 3 over 4


    Step 1 of 2:
    The given points are open parentheses 3 over 8 comma 0 close parentheses straight & open parentheses 5 over 8 comma 1 half close parentheses. The slope intercept form of a line is: y = mx + c.
    The slope of the line is:
    m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    m equals fraction numerator 1 half minus 0 over denominator 5 over 8 minus 3 over 8 end fraction
    m equals fraction numerator 1 half over denominator 2 over 8 end fraction
    m equals 1 half cross times 8 over 2 8 over 2
    m = 2
    Thus, the equation changes to y = 2x + c.
    Step 2 of 2:
    To find the y-intercept, substitute any of the given points.
    Y = 2x + c
    0 equals 2 open parentheses 3 over 8 close parentheses plus c
    0 equals 3 over 4 plus c
    negative 3 over 4 equals c
    Thus, the equation of the line is: y equals 2 x minus 3 over 4

    You could also find the equation of the line by plotting them on a graph or using the slope-point form as well.

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