Write the equation of the line in fully simplified slope-intercept form.
(6,-10)
To write the equation of a line in slope-intercept form, we need two pieces of information: the slope (m) and the y-intercept (b). However, since we only have one point (6, -10), we cannot determine the slope directly.
To find the slope, we need a second point on the line. If you have another point, please provide it so that we can continue with finding the equation.
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
We need to find the slope first. Given a point (6,-10), we can use the formula for slope, which is (y2 - y1) / (x2 - x1). Plugging in the values, we get:
m = (-10 - 0) / (6 - 0)
m = -10 / 6
m = -5/3
Now that we have the slope, we can plug it back into the slope-intercept form along with the given point (6,-10).
y = mx + b
-10 = (-5/3)(6) + b
To find b, we solve for it:
-10 = -30/3 + b
-10 = -10 + b
b = 0
Therefore, the equation of the line in fully simplified slope-intercept form is:
y = (-5/3)x + 0
Or simply y = (-5/3)x.
To find the equation of a line in slope-intercept form, which is y = mx + b, we need to determine the slope (m) and the y-intercept (b) based on the given information.
Given the point (6, -10), we can't directly determine the slope without more information. However, if we know another point on the line or the slope of the line, we can easily calculate the equation.
Please provide either the slope or another point on the line, and I'll be able to help you find the equation in slope-intercept form.