[tex]Slope = m = \frac{2}{5}[/tex]
Further explanation:
Let us define slope first.
"Slope is the measure of steepness of a line connecting two points"
Slope is denoted by m. The formula for slope for two points given is:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
where (x1,y1) are the coordinates of one point and (x2,y2) are the coordinates of second point.
Here,
[tex]A(4,5) = (x_1, y_1)\\B(9,7) = (x_2, y_2)[/tex]
Putting the values in the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{7-5}{9-4}\\=\frac{2}{5}[/tex]
Hence, the slope is 2/5.
Keywords: Slope of line, Finding slope with two given points
Learn more about slope at:
- brainly.com/question/3943029
- brainly.com/question/12941985
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