Final answer:
To write the equation of a line passing through two points, first find the slope using the formula (y2 - y1) / (x2 - x1). Then, use the point-slope form of a linear equation to write the equation of the line. Finally, simplify the equation to obtain the standard form. 5y - x = -7
Step-by-step explanation:
To write the equation of a line passing through two points, we first need to find the slope. The slope of a line can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (-2,1) and (3,2), the slope would be:
m = (2 - 1) / (3 - (-2)) = 1/5
Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the line as:
y - y1 = m(x - x1)
Substituting the values of the slope and one of the points, we get:
y - 1 = (1/5)(x - (-2))
Simplifying the equation gives us the equation of the line in standard form:
5y - x = -7