What is the y-Intercept Formula for a Straight Line Passing Through the Point (4, -3) with a Slope -6/5?
Answer – A modified form of the slope-intercept equation of a straight line can serve as the y-intercept formula here. It is given by .
Explanation:
The y-intercept of a straight line is the point where the graph of the line cuts the y-axis.Â
It can be found using various methods depending on the information provided.
However, when the slope and coordinates of a point that the line passes through are given, the equation of a straight line in the slope-intercept form can be used to find the y-intercept. It is given by:
, where m is the slope of the straight line (which indicates how steep the line is) and b is the y-intercept.
Both m and b are constant for a given straight line, while x and y are variable as they represent the position of the various points on the line.
The above equation can be rearranged to get the y-intercept formula:
From the question, we know that the line whose y-intercept we need to find passes through (4, -3) and has a slope . We can substitute these values in place of x, y, and m in the equation, respectively, and solve for the y-intercept.
So , ,
The y-intercept b of the given straight line is .
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