Answer/Step-by-step explanation:
9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)
Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.
Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.
The equation for the line passing through point A and perpendicular to AB will be y-0.5x=6, the gradient of line AB is -2, and the gradient of a line perpendicular to AB is 0.5.
<h3 /><h3>What is the slope or gradient?</h3>A numerical assessment of a line's angle relative to the ground is known as the slope.
Given data;
m₁ is the slope of line AB
m₂ is the slope of a line perpendicular to AB
The coordinate points are,
A,(x₁,y₁)= (0, 6)
B,(x₂,y₂)=(3, 0).
The gradient of line AB;
The slope of the lines has a perpendicular relation is -1;
m₁ × m₂ = -1
(-2) × m₂ = -1
m₂ = 1/2
m₂ = 0.5
The equation of the line passing through point A and perpendicular to AB;
(y - y₁) = m₂(x-x₁)
(y-6)=0.5(x-0)
y-6 = 0.5 x
y-0.5x=6
Hence, the gradient of line AB, the gradient of a line perpendicular to AB, and the equation of the line passing through point A and perpendicular to AB will be -2,0.5 and y-0.5x=6.
To learn more about the slope, refer to the link;
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