A line has a slope of 0 and a y-intercept of −38. Write its equation in slope-intercept form.Write your answer using integers, proper fractions, and improper fractions in simplest form.
Q. A line has a slope of 0 and a y-intercept of −38. Write its equation in slope-intercept form.Write your answer using integers, proper fractions, and improper fractions in simplest form.
Identify Linear Equation Form: Identify the slope-intercept form of a linear equation.The slope-intercept form of a linear equation is y=mx+b, where m is the slope and b is the y-intercept.
Insert Given Values: Insert the given slope and y-intercept into the slope-intercept form.We are given the slope m as 0 and the y-intercept b as −38. Substituting these values into the slope-intercept form, we get y=(0)x+(−38).
Simplify Equation: Simplify the equation.Since the slope is 0, the term (0)x is equal to 0, and therefore it can be removed from the equation. This leaves us with y=−38.
Check for Errors: Check for any mathematical errors.There are no multiplication or addition errors, and the simplification is correct. The equation y=−38 correctly represents a horizontal line with a y-intercept of −38.
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