Question

15 POINTS!

1.What is the slope of the line that passes through the points (3, –1) and (–2, –5)?

2.What is the slope of a line parallel to the line whose equation is 2x – 3y = 6?

Answer 1

1)
`(y2-y1)/(x2-x1)`

`(-5-(-1))/(-2-3)`

`(-4)/(-5)`

`(0.8)/(1)`

The slope of the line would be 0.8 over 1

Sorry, but I don't know the answer to #2

Answer 2

1) We know, Slope(m) = y2-y1 / x2-x1
m = -1-(-5) / 3 - (-2)
m = -1+5 / 3+2
m = 4/5

In short, Your Answer would be 4/5

2) Equation: 2x - 3y = 6
3y = 2x - 6

Divide the equation by 3,
y = 2/3x - 2
Now, Compare it with y = mx + b
Slope, m = 2/3
Line which is parallel to it must have the same slope.

In short, Your Answer would be 2/3

Hope this helps!