Answer:
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Step-by-step explanation:
All non-horizontal line in the cartesian plane intersects the -axis at a unique point. The -coordinate of that point is the -intercept of this line.
The -intercept of the line in this question is . Thus, the -coordinate of the intersection of this line and the -axis would be .
Like all other points on the -axis, the -coordinate of that intersection would be . Therefore, the coordinates of that intersection would be .
Similarly, the -intercept of a non-vertical line is the -coordinate of the point where that line intersects the -axis.
The slope-intercept form of a line is in the form , where is the slope of the line and is the -intercept of this line. Both and are constants.
It is given that the -intercept of the line in this question is . Therefore, . The slope-intercept equation of this line would be for some slope to be found.
All points on this line should satisfy the equation of this line. The -intercept of this line, , is a point on this line. Thus, the equation should hold for and . Substitute these two values into the equation and solve for the slope :
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Therefore, the slope-intercept equation of this line would be:
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