The equation in slope-intercept form for the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5 is 
<em><u>Solution:</u></em>
<em><u>The slope intercept form is given as:</u></em>
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Given that the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5
Given line is perpendicular to − 4 x − 3 y = − 5
− 4 x − 3 y = − 5
-3y = 4x - 5
3y = -4x + 5

On comparing the above equation with eqn 1, we get,

We know that product of slope of a line and slope of line perpendicular to it is -1

Given point is (-1, -2)
Now we have to find the equation of line passing through (-1, -2) with slope 
Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1



Thus the required equation of line is found
Answer:
-15
Step-by-step explanation:
Answer:
area = 779.4 cm²
Step-by-step explanation:
divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.
tan 60° = 15/x
1.7321 = 15/x
x = 8.66 (this is one-half of the base of the triangle)
base = 17.32 cm
area of one triangle = 1/2(17.32)(15) = 129.9 cm²
129.9(6) = 779.4 cm² (because 6 triangles make up the hexagon)
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