Question

the x intercept of a line is 2 and the y-intercept is 4 use this information to write equation for the line

Answer 1

y = -2x + 4

Explanation:

Two points on this line are (2,0) and (0,4). Moving from (0,4) to (2,0), x increases by 2 and y decreases by 4. Thus, the slope of this line is m = -4/2, or m = -2.

Thus, the equation of this line is y-0 = (-2)(x - 2), or y = -2x + 4.

Answer 2

The equation for a line with a y-intercept of 4 and a x-intercept of 2 is y = -2x + 4 where -2 is the slope and 4 is the y-intercept.