3* (a + 1,5) = - 1,5 [:3
a + 1.5 = - 0,5
a = - 0,5 - 1.5 = -2
The slope of first line is m 1= ( 1 - 0 ) / ( - 2 - ( - 6 ) );
m = 1 / 4 ;
Because the second line is perpendicular to the first line, m2 * m1 = - 1 ;
m2 * ( 1 / 4 ) = -1;
m2 = - 4 ;
The equation of the second line is : y - 3 = ( - 4 )( x - 2 );
y - 3 = -4x + 8 ;
y = -4x + 11.
Answer:
I believe the answer is 10 units.
Plot the points on a graph. Connect the dots into a triangle. See that the height of the triangle is from y=5 down to y=1. So the height is 4 units.
Area of a triangle: A = (1/2)BH
You need to find the length of the base. Which is from point (-4,1) to (0,1). You can use the distance formula r just see from the graph that the base is 4 units.
A = (1/2)(4)(4)
A = 8
** Distance formula fyi
d² = (X-x)² + (Y-y)²
with points (X,Y) and (x,y)
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