What is the equation of a line that has a slope of -4 and goes through (-1,6)

Step-by-step explanation:

Given

slope(m) = - 4

Points ( x1 , y1) = ( - 1 , 6)

Now

The equation of a line is given by

y - y1 = m( x - x1)

y - 6 = - 4 ( x + 1)

y - 6 = -4x - 4

4x + y - 6 + 4 = 0

4x + y - 2 = 0

Hope it helps:)

y -6 = 6(x +1)  

Step-by-step explanation:

hello :  

Use the point-slope formula.

y - y_1 = m(x - x_1)     m=6      x_1= -1       y_1 = 6

an equation for this line is :  y -6 = 6(x +1)  

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.