Write the equation for a line passing through the point (-3,2) and having a slope of 1.

The equation will have the form

y = mx + b,

where m is the slope of the line.

We are given that m = 1 Therefore, the equation will look like this:

y = 1*x + b.

We must now determine b.

To do that, we must use the information that (-3, 2) are the coördinates of a point on the line. Those coördinates then solve the equation.

2 = 1· (-3) + b

This implies

b = 5

Hence,The equation of the line is

y = 1*x +5

i.e y=x+5

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