The straight line L has equation 5x + 2y = 31 The point A has coordinates (0, 1)
The straight line M is perpendicular to L and passes through A.
Line L crosses the y-axis at the point B.
Lines L and M intersect at the point C.
Work out the area of triangle ABC.
You must show all your working.

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

step-by-step explanation:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9