Determine the percentage increase from 10 yards to 13 yards
1 answer:
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For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
The slope of a line is given by:
We have that the line m passes through the following points:
So, the slope of the line m is:
Line n has the same slope so the equation is of the form:
We have as data that the y-intercept is . Thus, we have that the equation of line n is:
ANswer:
Answer:
y - 1 = 3/2(x - 6)
Step-by-step explanation:
First, we need to find the slope of the given equation. Without a graph, the easiest way to do this is by isolating y.
2x + 3y = 18
3y = -2x + 18 (Subtract 2x from both sides)
y = -2/3x + 6 (Divide both sides by 3)
The slope is -2/3. Perpendicular lines have opposite reciprocal slopes, so a line perpendicular to this one would need to have a slope of 3/2. We're given a point for this line, so we can write the equation for it in point-slope form.
Point-Slope Form:
y - 1 = 3/2(x - 6)
If necessary, this can also be written in slope-intercept form by solving for y.