The equation of the line in slope-intercept form would be y = m(x - 1/5) - 8.
<h3>What is slope intercept form a straight line?</h3>
The slope-intercept form of a straight line is used to get the equation of a line. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula.
One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.
Since the slope is undefined in the given question, let us consider it as m.
Therefore, slope=m
Given points are 1/5 and -8, so x₁ = 1/5 and y₁ = -8
We know the formula is, y - y₁ = slope × (x - x₁)
Putting the values of x₁, y₁ and slope in the given formula we get,
y -(-8) = m × (x-1/5)
y = m(x-1/5) - 8
Hence, we get the required equation.
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