Answer:
m = [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Pre-Solving
Given
We are given the points (2, -3), and (6,4), and we want to find the slope through these 2 points.
Formulas
The formula for the slope (m) is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.
Even though we have 2 points (as stated in given), let's label their values to help avoid any confusion and mistakes.
[tex]x_1=2\\y_1=-3\\x_2=6\\y_2=4[/tex]
Solving
We can substitute the values of [tex]x_1, y_1, x_2,[/tex] and [tex]y_2[/tex] into the formula to find the slope. Remember that the formula has subtraction.
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{4--3}{6-2}[/tex]
Simplify.
m = [tex]\frac{4+3}{6-2}[/tex]
Add/subtract.
m = [tex]\frac{7}{4}[/tex]
The slope of the line is [tex]\frac{7}{4}[/tex].
Topic: slope
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