Answer:
[tex]\boxed {\boxed {\sf m=3}}[/tex]
Step-by-step explanation:
We are asked to find the slope of the line that passes through (4, -3) and (5,0).
The slope is the number that tells us the steepness and direction of a line. It is the rise over run, or the change in y over the change in x.
[tex]m= \frac{ \Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}[/tex]
In the slope formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. The points we are given are (4, -3) and (5,0). If we match the value with its corresponding value, we see that:
- x₁ = 4
- y₁ = -3
- x₂ = 5
- y₂ = 0
Substitute the values into the formula.
[tex]m= \frac{0 - -3}{5-4}[/tex]
Solve the numerator. Remember that 2 back to back subtraction signs become an addition sign.
[tex]m= \frac{3}{5-4}[/tex]
Solve the denominator.
[tex]m= \frac{3}{1}[/tex]
Divide.
[tex]m=3[/tex]
The slope of the line is 3.
