Answer:
Figures A,D are polygons.
Reason:
Polygon is a closed figure with atleast three strange lines and angles.
Answer:
y = (-3/4)x - 4
Step-by-step explanation:
The slopes of perpendicular lines are opposite reciprocals of each other. In other words, if the slope of one line is a/b, then the slope of the line perpendicular to it would be -b/a.
Here, the given slope is 4/3, so the slope of the perpendicular line is -3/4.
We are given a point (-4, -1) and we know the slope, so we can find the point-slope form of the line. Point-slope form is written as y - y1 = m(x - x1), where (x1,y1) is the point and m is the slope. Here, x1 = -4 and y1 = -1 and m = -3/4. So:
y - y1 = m(x - x1)
y - (-1) = (-3/4) * (x - (-4)) = (-3/4) * (x + 4)
y + 1 = (-3/4)x + (-3/4) * 4 = (-3/4)x - 3
y = (-3/4)x - 3 - 1
y = (-3/4)x - 4
Answer:
y = 9x - 15
Step-by-step explanation:
The given y = 9x - 5 is already in slope-intercept form. Any line parallel to this one has an equation that looks exactly the same except for the constant term. Call the new constant term 'C.'
Start with y = 9x - 5 and substitute the coordinates of the given point (-1, 6):
6 = 9(-1) + C, or
6 + 9 = C, or
C = 15
Then the equation of the line that passes through (-1, 6) and is parallel to y = 9x - 5 is
y = 9x - 15
