Final answer:
To find the equation of a line with an x-intercept of -2 and a y-intercept of -6, we calculate the slope as -6/2 = 3 and then use the y = a + bx form to write the equation as y = -6 + 3x.
Step-by-step explanation:
The question requires us to write an equation for a line with an x-intercept of -2 and a y-intercept of -6. To find the equation of the line, we need to determine its slope (b) and its y-intercept (a). The slope of a line can be calculated using the coordinates of the x-intercept and y-intercept by the formula slope (b) = rise/run. In this case, moving from the x-intercept (-2,0) to the y-intercept (0,-6), we have a rise of -6 (since we are going down) and a run of 2 (to the right). This gives us a slope of 3. Therefore, using the form y = a + bx, the equation of the line is y = -6 + 3x.