Question

Find the coordinates of the points of intersection of the graphs with coordinate axes: y=−2x+4

Answer 1

(2,0) and (0, 4)

Explanation:

In other words, find the x- and y-intercepts.

x-intercept: Let y = 0 and solve for x: 2x = 4 and x = 2 => (2,0)

y-intercept: Let x = 0 and evaluate y: y = -2(0) + 4 => (0,4)

Answer 2

y-intercept is (0,4) and x-intercept is (2,0).

Explanation:

Consider the given equation

`y=-2x+4`

We need to find the coordinates of the points of intersection of the graphs with coordinate axes.

Substitute x=0 in the given equation to find the y-intercept.

`y=-2(0)+4`

`y=4`

y-intercept is (0,4).

Substitute y=0 in the given equation to find the x-intercept.

`0=-2x+4`

Add 2x on both sides.

`0+2x=-2x+4+2x`

`2x=4`

Divide both sides by 2.

`x=2`

x-intercept is (2,0).