Answer:
y = 1/2x + 3
Explanation:
Given at least two points through which a line passes, we can find the equation of a line in slope-intercept form, which is y = mx + b, where
- m is the slope,
- and b is the y-intercept
Step 1: We can find the slope using the slope formula, which is
m = (y2 - y1) / (x2 - x1), where (x1, y1) are one point on the line and (x2, y2) is another point on the line.
Allowing (-4, 1) to be our (x1, y1) point and (0, 3) to be our (x2, y2) point, we can find the slope by plugging everything into the formula:
m = (3 - 1) / (0 - (-4))
m = 2 / (0 + 4)
m = 2 / 4
m = 1/2
Step 2: Now we can find b, the y-intercept, by plugging in at least one of the points for x and y and 1/2 for m. Let's use (-4, 1) for x and y:
1 = 1/2(-4) + b
1 = -2 + b
3 = b
Thus, the equation of the line that passes through the points (-4, 1) and (0, 3) is y = 1/2x + 3