Respuesta :

Answer: Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.

Step-by-step explanation:

Answer:

slope = [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = [tex]\frac{4-(-3)}{3-(-1)}[/tex] = [tex]\frac{4+3}{3+1}[/tex] = [tex]\frac{7}{4}[/tex]