write an equation of the ine, inpoint slope form, that pases through the given points
(-2,-15),(9,-18)
To find the equation of the line in point-slope form, you need to use the formula:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope.
First, let's find the slope (m) using the given points (-2, -15) and (9, -18):
m = (y2 - y1) / (x2 - x1)
m = (-18 - (-15)) / (9 - (-2))
m = (-18 + 15) / (9 + 2)
m = -3 / 11
Now, we have the slope (m) as -3/11. Let's choose one of the points; let's use (-2, -15) as (x1, y1):
y - (-15) = (-3/11)(x - (-2))
Simplifying:
y + 15 = (-3/11)(x + 2)
Therefore, the equation of the line in point-slope form that passes through the points (-2, -15) and (9, -18) is:
y + 15 = (-3/11)(x + 2)
To find the equation of a line using the point-slope form, we need to know the slope of the line and the coordinates of one point on the line. We can 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.
First, let's find the slope (m) using the given points (-2, -15) and (9, -18).
The slope (m) is given by:
m = (change in y) / (change in x)
m = (-18 - (-15)) / (9 - (-2))
m = (-18 + 15) / (9 + 2)
m = -3 / 11
Now, let's choose one of the points, let's say (-2, -15), and substitute the coordinates into the point-slope formula:
(y - y1) = m(x - x1)
(y - (-15)) = (-3/11)(x - (-2))
(y + 15) = (-3/11)(x + 2)
This is the equation of the line in point-slope form that passes through the given points (-2, -15) and (9, -18).
To write an equation of a line in the point-slope form, we need a point on the line and the slope of the line.
First, let's find the slope (m) using the given points (-2, -15) and (9, -18). The slope (m) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates, we get:
m = (-18 - (-15)) / (9 - (-2))
= (-18 + 15) / (9 + 2)
= -3 / 11
Now that we have the slope (m), we can choose one of the given points, say (-2, -15), and use the point-slope form of a line equation:
y - y1 = m(x - x1)
Plugging in the values, we have:
y - (-15) = (-3/11)(x - (-2))
y + 15 = (-3/11)(x + 2)
This is the equation of the line in point-slope form that passes through the given points.