Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2
Answer:
I think the answer is A.Negative
Step-by-step explanation:
From x=-5 to x=0 the slope is decreasing and from x=1 to x=6 it keeps decreasing.
2 to the power of 6 or 4 to the power of 3
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
<h3 /><h3>Equation of a line</h3>
The standard equation of a line is expressed as y= mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points on a line (3, 2) and (-1, -1)
Slope = -1-2/-1-3
Slope = 3/4
Determine the y-intercept
2 = 3/4(3) + b
2 = 9/4 + b
b = 2 - 9/4
b = -1/4
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
Learn more on equation of a line here: brainly.com/question/18831322
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