Question

Y = -3x + 7

Y = 8x - 6

30x-5y = 25

20x + 10y = 90

-3x + 3y = 18

Answer 1

Positive Slopes

2) y = 8x - 6

3) y = 6x - 5

5) y = 1x + 6

Negative Slopes

1) y = -3x + 7

4) y = -2x + 9

(Bold numbers indicate the slopes)

Explanation:

y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is.

y = mx + b

m ~ slope of the line

b ~ intercept of the line

`3) \: \: 30x - 5y = 25 \\ 30x - 25 = 5y \\ (30x - 25)/(5) = (5y)/(5) \\ 6x - 5 = y \\ \\ y = 6x - 5`

`4) \: \: 20x + 10y = 90 \\ 10y = - 20x + 90 \\ (10y)/(10) = ( - 20x + 90)/(10) \\ y = - 2x + 9 \\`

`5) \: \: - 3x + 3y = 18 \\ 3y = 18 + 3x \\ (3y)/(3) = (18 + 3x)/(3) \\ y = 6 + x \\ \\ y = x + 6`

Answer 2

Answers:

Positive slopes:

Y = 8x - 6 with a slope of 8.

30x - 5y = 25 with a slope of 6.

Negative slopes:

-3x + 3y = 18 with a slope of -1.

Y = -3x + 7 with a slope of -3.

20x + 10y = 90 with a slope of -2.

Step-by-step explanation: Have a great day! :)