The slope of the line passing through the points (-2 -7) and (3 5) is 12/5 the answer is 12/5.
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The line passing through the points (-2 -7) and (3 5)
A straight line is a combination of endless points joined on both sides of the point.
As we know the standard form of the line is:
y = mx +c
Here, m is the slope of the line and c is the y-intercept.
To find the slope of the line:
Use the slope formula:
[tex]\rm m =\dfrac{5-(-7)}{3-(-2)}[/tex]
m = 12/5
Thus, the slope of the line passing through the points (-2 -7) and (3 5) is 12/5 the answer is 12/5.
Learn more about the slope here:
brainly.com/question/3605446
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