Final answer:
To find the equation of a line in point-slope form, use the formula y - y1 = m(x - x1), where (x1, y1) are the coordinates of a point on the line and m is the slope. We find the slope-intercept form y = 2x.
Step-by-step explanation:
To find the equation of a line in point-slope form, we use the formula:
y - y1 = m(x - x1)
where (x1, y1) are the coordinates of a point on the line, and m is the slope of the line. Let's use the given points (2, 4) and (-3, -6) to find the equation:
Step 1: Calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates (2, 4) and (-3, -6), the slope is:
m = (-6 - 4) / (-3 - 2) = -10 / -5
= 2
Step 2: Substitute the slope and one of the given points into the point-slope form:
y - 4 = 2(x - 2)
Step 3: Simplify the equation to slope-intercept form (y = mx + b):
y - 4 = 2x - 4
y = 2x - 4 + 4
y = 2x