Slope-intercept form: y = mx + b (m is the slope, b is the y-intercept, or the y value when x = 0 ---> (0, y)]
For #1:
y = mx + b
[tex]y=-\frac{2}{5} x-2[/tex]
[tex]m=-\frac{2}{5}[/tex]
b = -2
#2:
y = mx + b
[tex]y=\frac{5}{2}x-4[/tex]
[tex]m=\frac{5}{2}[/tex]
b = -4
To graph this line, you can start at the y-intercept, then use the slope to find the next point, and then you can draw a line from the y-intercept to the point you just found.
For example in #1:
Your y-intercept is -2 or (0, -2), so you can start making a point there. Now you use the slope, which is -2/5. From (0, -2), you go down 2 units, then to the right 5 units, and that point you found should be (5, -4)
The slope tells you how many units you need to go up (+) or down (-) and to the right.
When the slope is positive, (ex: 3), you go up (3 units) and to the right 1 unit
When the slope is negative, you go down 3 units, and to the right 1 unit. The denominator tells you how many units you move to the right.
