Question

HELPPPP DUE TONIGHT!!!!!!!​

Answer 1

Answer is in the graph

Step by step

Given point ( -2, 3) find this point on the graph ( x = -2, y = 3)

From this point, use slope -2/3 to find your next point. Remember slope is y/x so from your first point, go down -2 and right + 3. Mark your point. From here, do this again, go down -2 and right +3. Mark your point. Now you can draw your line. The attached graph shows the coordinates found by using slope.

Answer 2

Slope is essentially how y changes divided by the change in x.

Our slope here is -2/3. This means that for every 3 units you move to the right, move down 2 units.

But first you must know the y-intercept, also known as b.

Here’s how you find b given slope and a point:

y = mx + b

where m is our slope and b is the y-intercept.

Plug in slope:

y = -2/3 x + b

Now, plug in the ordered pair (-2,3) into the correct x and y value places:

(3) = -2/3 (-2) + b

Now solve for b:

3 = 4/3 + b

Put 3 in terms of 4/3:

3/3 (3/1) = 9/3

9/3 = 4/3 + b

9/3 - 4/3 = b

5/3 = b

Now plug b back into the original equation with the given slope:

y = -2/3x + 5/3

That is the equation of a line with a slope of -2/3 passing through point (-2,3).

Hope this helps!