Final answer:
To find the y-intercept with x-intercept and slope, you can use the slope-intercept form of a linear equation, y = mx + b. Substitute the given values into the equation and solve for b to find the y-intercept.
Step-by-step explanation:
The y-intercept is the point where a line crosses the y-axis, while the x-intercept is the point where a line crosses the x-axis. To find the y-intercept when given the x-intercept and slope, you can use the slope-intercept form of a linear equation, y = mx + b. In this equation, m represents the slope and b represents the y-intercept.
Let's say we have the x-intercept at point (a, 0) and the slope is given as m. To find the y-intercept, we can substitute the given values into the slope-intercept equation and solve for b. We have the equation 0 = ma + b. Rearranging the equation, we get b = -ma. Therefore, the y-intercept is -ma.
For example, if the x-intercept is 3 and the slope is 2, we can substitute these values into the equation to find the y-intercept. b = -2 * 3 = -6. So the y-intercept is -6.