Answer:
Explanation:
To find the equation of the line that passes through the points (-2, 1) and (4, 3), we can use the point-slope form of a line.
Point-slope form of a line: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.
Step 1: Find the slope:
We can use the two points to find the slope:
m = (y2 - y1) / (x2 - x1) = (3 - 1) / (4 - (-2)) = 2
Step 2: Use the point-slope form:
y - 1 = 2(x - (-2))
y - 1 = 2x + 4
y = 2x + 5
The equation of the line that passes through the points (-2, 1) and (4, 3) is y = 2x + 5. This is the standard form of the line.