Answer:
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)
Step-by-step 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
[tex]3) \: \: 30x - 5y = 25 \\ 30x - 25 = 5y \\ \frac{30x - 25}{5} = \frac{5y}{5} \\ 6x - 5 = y \\ \\ y = 6x - 5[/tex]
[tex]4) \: \: 20x + 10y = 90 \\ 10y = - 20x + 90 \\ \frac{10y}{10} = \frac{ - 20x + 90}{10} \\ y = - 2x + 9 \\ [/tex]
[tex] 5) \: \: - 3x + 3y = 18 \\ 3y = 18 + 3x \\ \frac{3y}{3} = \frac{18 + 3x}{3} \\ y = 6 + x \\ \\ y = x + 6[/tex]
