Answer: " y = x + 3 " .
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Step-by-step explanation:
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Consider the equation of a line, in "slope-intercept form" ;
which is: " y = mx + b" ;
in which: "m" refers to the "slope of the line", which is the coefficient of "x".
"b" refers to the "y-intercept" of the line", which is given as "3" ; which is the coordinate of "x" of the point at which "y = 0".
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So, we can plug in our given values for "m" and "b" into the equation, and write the equation:
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y = 1x + 3 .
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By convention, we can write the "1x" as simply "x" ; since there is an "implied coefficient" of "1" ; and an ["implied"] slope, "m", of "1" ; since any value, multiplied by "1", results in that exact same number. So we can write the equation as:
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" y = x + 3 " .
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