Question

x intercept3,slope2

Answer 1

[AI-generated answer — Explain Bot]

To find the equation of a line given the x-intercept and the slope, we can use the point-slope form of a line equation.

The x-intercept is a point on the line where the line crosses the x-axis. In this case, the x-intercept is given as 3, which means the line passes through the point (3, 0).

The slope represents the steepness of the line. In this case, the slope is given as 2.

Now, using the point-slope form of a line equation:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope.

Plugging in the values we have:

y - 0 = 2(x - 3)

Simplifying:

y = 2x - 6

Therefore, the equation of the line with an x-intercept of 3 and a slope of 2 is y = 2x - 6.