Final answer:
To find the equation of a line with x-intercept 3 and y-intercept 6, we need to find the slope first using the rise and run, then plug in the values of slope and y-intercept into the equation y = mx + b.
Step-by-step explanation:
To find the equation of a line in standard form with x-intercept 3 and y-intercept 6, we need to use the formula y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope. We can use the two intercepts to find the rise and run. The rise is the change in y-values (from y-intercept to x-intercept), which is 6 - 0 = 6. The run is the change in x-values (from x-intercept to y-intercept), which is 3 - 0 = 3.
Next, we divide the rise by the run to find the slope: m = 6/3 = 2.
Now we can plug in the values of the slope and the y-intercept (b = 6) into the equation y = mx + b: y = 2x + 6. This is the equation of the line in standard form.