A question that I had some trouble on this week was this one:
Write the equation, in general form, of a line perpendicular to 3x-2y+5=0 and with the same y-intercept as 3x–y+18=0.
From the work below, we know that the y-intercept is 18.
In class, we learned that the slope of a line that is perpendicular will be the reciprocal and the opposite symbol- negative or positive. From the given formula, we can change it to slope-intercept form and find the slope. Then, we will reciprocate it and change it to a negative or a positive.
Now that we know the y-intercept and the slope, we can write a formula in slope-intercept form with this information.
From the slope-intercept form, all we need to do is to rearrange to make it equal to 0 and that will be the final answer.
