Answer :

The slope of the line, which passes through the points (5, 9) and (3, -5), is thus 7.

What is slope?

The lifted distance, which is the ratio of the vertical distance to the horizontal distance between two sites, is frequently used to compute slope (a number that indicates the slope of a line). A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope.

Here,

we have slope of line that passes through  (5, 9) and (3, -5)

Slope is the gradient between the two points

[tex]Slope= (y2-y1)/(x2-x1)\\Where y2= -5\\Y1= 9\\X2= 3\\X1= 5\\= > (-5-9)/(3-5)\\= > -14/-2\\= > 7\\[/tex]

The slope of the line, which passes through the points (5, 9) and (3, -5), is thus 7.

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