Question

the graph of 2x-y+4=0.use the graph to examine the following.
(a) find the point of intersection of the graph with axes.
(b) find the intercepts made by the graph on x and y axes.
(c)shade the portion bounded by the line and both the axes.
(d) find the area between the line and axes.

Answer 1

what do we know about the y value when a line crosses the x axis?

Answer 2

what are the point of intersection of graph on axis

Answer 3

b) is more readily solvable first, then you can work in a.

Answer 4

what do we know about the y value when a line crosses the x axis?

Answer 5

to find intercepts , firt we put y= 0 and we get, x= -2
and x= 0 , y =4

Answer 6

*first

Answer 7

those are the points of intersection then, which are also called the intercepts

Answer 8

notice if we shade in the boundary ... it forms a triangle.

how do we find the area of a triangle?

Answer 9

now, b part is solved

Answer 10

area = 1/2* base *height

Answer 11

correct, and the intercepts tell us height and width ... ignore the negative sign

Answer 12

area od triangle = 4 sq units

Answer 13

*of

Answer 14

im not sure if there is much of a distinction between a and b, if anything

a: (-2,0) , (0,4)
b. x=-2 , y=4
c. shaded
d. half of 4*2

Answer 15

@amistre64 thank u so much

Answer 16

youre welcome