Find the distance between these lines: y = -2x + 6 and y = -2x - 4
1 answer:
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Hi there!
To find our answer we need to collect the terms of the expression.
The coefficient (which is the number just before the variable) of the simplified expression is 13.
To find our answer we need to collect the terms of the expression.
The coefficient (which is the number just before the variable) of the simplified expression is 13.
Answer:
The equation of the line in slope-intercept form is:
y = -1/6x + 4
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the points on the line graph
- (0, 4)
- (6, 3)
Determining the slope between (0, 4) and (6, 3)
- (x₁, y₁) = (0, 4)
- (x₂, y₂) = (6, 3)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 4] / [6 - 0]
= -1 / 6
Thus, the slope of the line = m = -1/6
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = -1/6 in the slope-intercept form
y = mx + b
y = -1/6x + 4
Therefore, the equation of the line in slope-intercept form is:
y = -1/6x + 4