Choose the correct equation for the line shown on the graph below
a. -1/4x - 4
b. -1/4x - 1
c. 1/4x - 4
d. 1/4x - 1

Step-by-step explanation:

We can write the equation of a straight line as y=mx+b, with m being the slope. We know two points to be (-4,0) and (0,-1) in the (x,y) format. The slope is change in y/change in x, so we can subtract -1 from 0 (-1 is the second y coordinate) and 0 from -4 (0 is the second x coordinate) to get 1/(-4) as our slope. Then, we plug a point in, like (0,-1). We plug that into our formula, y=mx+b. We know that x=0, y=-1, and m(slope)=-1/4, so we can plug that in to get -1=(-1/4)(0)+b, or -1=b. Our equation is then y=(-1/4)x+-1 as our equation should have y and x left open for specific points

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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