Answer:
Explanation:
y - y₁ = m(x - x₁)
where (x₁, y₁) is the given point (5,12), and m is the slope.
Since the line passes through the origin (0,0), the point (0,0) is on the line as well. Now, plug in the values:
y - 0 = m(x - 0)
Simplifying further:
y = mx
Now, to find the value of the slope (m), use the given point (5,12):
12 = m(5)
Now, solve for m:
m = 12/5
So, the slope (m) is 12/5. Now, you can write the equation in slope-intercept form using the slope and the y-intercept (which is 0 since the line passes through the origin):
y = (12/5)x
Therefore, the equation of the line that passes through the origin and the point (5,12) in slope-intercept form is:
y = (12/5)x