Aline passes through the point , ( − 6, 1) and has a slope of − 4/3 .

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))

Since you know m = -4/3, plug it into the equation

y = -4/3x + b

To find "b", plug in the point into the equation

y = -4/3x + b

1 = -4/3(-6) + b

1 = 24/3 + b

1 = 8 + b

-7 = b

y = -4/3x - 7

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.