A line has a slope of - 3 and a y-intercept of 3. A coordinate plane. What is the x-intercept of the line?

x - intercept = 1

Step-by-step explanation:

The equation of a line in slope - intercept form is

y = mx + c (m is the slope and c the y - intercept)

Here m = - 3 and c = 3, thus

y = - 3x + 3 ← equation of line

The x - intercept has a y - coordinate of zero.

let y = 0 in the equation and solve for x, that is

- 3x + 3 = 0 (subtract 3 from both sides)

- 3x = - 3 (divide both sides by - 3)

x = 1 ← x - intercept