This week in math we learned how to determine the y-intercept and slope of a line by its equation as long as it’s in slope-intercept form. So First off, slope-intercept form is y=mx + b, where m is the slope and b is the y-intercept. So for example, if I gave you the equation y=6x+2, you would be able to find the slope and y-intercept just by looking at it. The slope is 6 and the y-intercept is 2.
Another example would be y=-1/2x-4. You would do the exact same thing, don’t let negative signs or fractions confuse you! Slope= -1/2 and the y-intercept= -4. If you ever get given a harder question, say when y isn’t by itself, all you have to do is use algebra to isolate y (example below).
Another question you could be given is where they give you the slope and the y-intercept and you’re told to write the equation. This is also very simple, all you need to do is put the numbers in their places, which you already know how to do. So you would put slope in the m ‘slot’ attached to x in the equation, then the y-intercept would be added on to the end (positive-adding, negative-subtracting). Example: slope=4, y-intercept=-9, write as an equation: y=4x-9.