write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"
1 answer:
Answer:
y = - x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - , then
y = - x + c ← is the partial equation
To find c substitute (6, - 1 ) into the partial equation
- 1 = - 2 + c ⇒ c = - 1 + 2 = 1
y = - x + 1 ← equation of line
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The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
As we can see in the graph the line goes from (-6, 0) and (0, 3)
Finding the slope:
m = 3/6 = 1/2
y = mx + c
y = (1/2)x + c
c is the y-intercept
c = 3
The equation:
y = (1/2)x + 3
Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
Learn more about the straight line here:
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