Answer: y = 5x - 7 or 5
Explanation:
To find the equation of a line that passes through two points, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.
The slope of the line passing through the points (2, 3) and (-1, -12) can be calculated as follows:
m = (y2 - y1) / (x2 - x1)
= (-12 - 3) / (-1 - 2)
= -15 / -3
= 5
Therefore, the slope of the line is 5.
To find the y-intercept, we can use one of the points and the slope of the line. Let’s use the point (2, 3):
Therefore, the slope of the line is 5.
To find the y-intercept, we can use one of the points and the slope of the line. Let’s use the point (2, 3):
y = mx + b
3 = 5(2) + b
3 = 10 + b
b = -7
Therefore, the y-intercept of the line is -7.
Thus, the equation of the line that passes through the points (2, 3) and (-1, -12) in slope-intercept form is:
y = 5x - 7
Therefore, the equation of the line in slope-intercept form is y = 5x - 7.