At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
the slope of each is line 1 --- m = -3/4 line 2 --- m = -3/4 the two are parallel from that
but in the table for each , when x is zero, they have different y values, 2 parallel lines, they have no solutions
y = -3/4 x + 2 y = -3/4 x + 5
how about these Line 1 x y –4 8 4 6 Line 2 x y –1 1 3 5
can you put the equation for each of them together ?
what do u mean
you get 2 points on each line, what is the equation of each line?
I didnt understand this lesson at all
i think construction the equation for a line was before the lesson about determining how many solutions a system of 2 equations has
not for my k12 online school
given 2 points, calculate the slope, and use y - y1 = m*(x - x1) to make the line, (x1,y1) is any point you know on the line
im so confused but ill try
line one the slope is - 0.25 line 2 the slope is 1
Line 1 slope = (6-8)/(4-(-4)) = -2/8 = -1/4 Line 2 Slope= (5-1) / (3 - (-1)) = 4/4 = 1
I think its b but im not quite sure
good, then use the slope and one of the points on the line, and make the point slope equation Line 1 y - y1 = m*( x- x1) y - 6 = (-1/4)*(x-4)
Line 2 y - 5 = 1 *(x-3)
what do we have to find again>?
oh yeah , how many solutions for the system
so b right???
a simple thing to notice, is the two lines have different slopes they must intersect then somewhere that is a solution
what is b)
so they would have one solution b
yeah , 2 lines with different slopes are not parallel, so they will cross eventually somewhere
the same answers as the last question sorry
2 lines will either --intersect at some point (x,y) and have one solution to the system --Be parallel and never intersect, no solutions for this case -- be the same line , one as just a multiple of the other, infinite solutions in this case