Question

Using the given points and line, determine the slope of the line. (-3, 0) and (2, 7) slope = -7/5

slope = -5/7
slope = 5/7
slope = 7/5

Answer 1

Answer: Last option

`slope=(7)/(5)`

Explanation:

The equation to find the slope m of a line is:

`m=(y_2-y_2)/(x_2-x_1)`

Where
`(x_1, y_1)` and
`(x_2, y_2)` are two points through which the line passes

In this case the points are: (-3, 0) and (2, 7)

Therefore the slope is:

`m=(7-0)/(2-(-3))`

`m=(7)/(2+3)`

`m=(7)/(5)`

The answer is the last option

Answer 2

Slope= 7/5

Explanation:

The slope of a line is determined as a ratio of the change in y to the change in x.

Slope=Δy/Δx

Δy=y₂-y₁

Δx=x₂-x₁

Therefore we can use the the x and y coordinates from the points given, (-3,0) and (2,7) to calculate the slope.

m= (7-0)/(2-⁻3)

Slope= 7/5

When a negative number is subtracted from a number it the operation sign changes to addition.