Substitute each point (-3,5) and (2,-1) into the slope-intercept form of a linear equation to write a system of equations. Then use the system to find the equation of the line containing the two points. Explain your reasoning.

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

Slope, m = (-1 - 5)/2 + 3)

Slope, m = -6/5

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

x and y are the points.
m represents the slope.
c represents the intercept.

At point (2, -1), we have:

-1 = -6/5(2) + c

-1 = -12/5 + c

c = 12/5 - 1

c = 7/5

In conclusion, we can reasonably and logically deduce that the slope-intercept form of the equation of the line described is y = -6x/5 + 7/5.

Read more on slope-intercept form here: brainly.com/question/1884491

#SPJ1