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

Respuesta :

Answer:

Slope= 7/5

Step-by-step 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.

Answer: Last option

[tex]slope=\frac{7}{5}[/tex]

Step-by-step explanation:

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

[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]

Where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are two points through which the line passes

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

Therefore the slope is:

[tex]m=\frac{7-0}{2-(-3)}[/tex]

[tex]m=\frac{7}{2+3}[/tex]

[tex]m=\frac{7}{5}[/tex]

The answer is the last option