Respuesta :
Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y)]
5. Since you know:
m = 3
b = -2 Plug it into the equation
y = mx + b
y = 3x - 2
6. Do the same as #5
7. m = 6 and (2, -3) Plug in m
y = 6x + b To find b, plug in the point (2, -3)
-3 = 6(2) + b
-3 = 12 + b Subtract 12 on both sides
-15 = b
y = 6x - 15
8. Do the same as #7
9. To find the slope, use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and plug in the two points
(2, 1) = (x₁, y₁)
(1, 6) = (x₂, y₂)
[tex]m=\frac{6-1}{1-2} =\frac{5}{-1}[/tex]
m = -5
y = -5x + b To find b, plug in either one of the points, I will use (1, 6)
6 = -5(1) + b Add 5 on both sides
11 = b
y = -5x + 11
10. Do the same as #9, should be y = x - 1
11. Do the same as #9 and #10, should be y = -44x + 260
12. Do the same as #9-11, should be y = 23x - 68
13. x-intercept is the point where the line crosses through the x-axis, or the x value when y = 0 ---> (x, 0)
You know:
x-intercept: (1, 0) and y-intercept: (0, -3) [(1, 0) is (x₂, y₂)]
Do the same as #9-12 to find the slope
You should get y = 3x - 3
