Question

Where does the graph of
`y=-2x+1` intersect the
`x` -axis?

Answer 1

x = 1/2

Explanation:

You want to know the x-intercept of the graph of y = -2x +1.

X-intercept

The x-axis corresponds to a y-value of 0. The graph of any relation will intersect the x-axis where the output value is 0. We can find those points by solving the relation after setting y=0.

y = -2x +1 . . . . . . . given relation

0 = -2x +1 . . . . . . . equation with y=0

2x = 1 . . . . . . . . . . . add 2x

x = 1/2 . . . . . . . . . . . divide by 2

The graph intersects the x-axis where x = 1/2.