Which equation represents the line that has a slope of $\frac{1}{3}$13 and an x-intercept of $5$5 ?
Question
Which equation represents the line that has a slope of and an x-intercept of ?
Solution
The equation of a line can be represented in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept.
However, in this case, we are given the slope (m = 1/3) and the x-intercept. The x-intercept is the point where the line crosses the x-axis, which is when y = 0.
So, we can set up the equation as follows:
0 = 1/3 * 5 + b
Solving for b, we get b = -5/3.
Therefore, the equation of the line is y = 1/3x - 5/3.
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