Maths-
General
Easy

Question

Write the equation in slope-intercept form of the line that passes through the points (0, 1) and (2, 2).

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 1 half x plus 1


    Step 1 of 2:
    The given points are: (0,1) and (2, 2). The slope intercept form 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 2 minus 1 over denominator 2 minus 0 end fraction
    m equals 1 half
    Thus, the equation changes to, y equals 1 half x plus c.
    Step 2 of 2:
    The y-intercept is the value for y when x = 0.
    Here, when x = 0, the value of y = 1. Thus, the y-intercept is c = 1.
    Hence, the equation of the line is:
    y equals 1 half x plus 1.

    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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