Question

What is the slope of the line through the points (-2, -1) and (4, 3)?

2/5

5/2

3/2

2/3

Answer 1

`\huge\text{Hey there!}`

`\large\textsf{The formula for slope of a line is: }\large\boxed{\mathsf{m = (y_2 - y_1)/(x_2 - x_1) \ or\ easier \ way\ m = (rise)/(run)}}`

`\large\textsf{NOW LETS ANSWER THE GIVEN EQUATION}`

`\large\text{THE GIVEN EQUATION: \boxed{\rm{m = (3 - (-1))/(4 - (-2))}}}\\\large\boxed{m \rm{= (3 + 1)/(4 + 2)}}\\\\\\\large\boxed{m \rm{= (4)/(6)}}\\\\\\\large\boxed{m \rm{= (4/ 2)/(6/ 2)}}\\\\\\\large\boxed{m = \rm{(2)/(3)}}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. (2)/(3)}}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`

Answer 2

2/3

Explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

= ( 3- -1)/ ( 4 - -2)

= ( 3+1)/ ( 4+2)

= 4/6

= 2/3