To find the equation of the line that passes through the points (0, -7) and (4, 5), we can use the point-slope form of a line. The point-slope form is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line.
To find the slope m, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates of the two points, we get:
m = (5 - (-7)) / (4 - 0)
Simplifying, we get:
m = 12 / 4
m = 3
Substituting this value for m, and the coordinates of one of the points, (0, -7), into the point-slope form, we get:
Answers & Comments
Answer:
To find the equation of the line that passes through the points (0, -7) and (4, 5), we can use the point-slope form of a line. The point-slope form is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line.
To find the slope m, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates of the two points, we get:
m = (5 - (-7)) / (4 - 0)
Simplifying, we get:
m = 12 / 4
m = 3
Substituting this value for m, and the coordinates of one of the points, (0, -7), into the point-slope form, we get:
y - (-7) = 3(x - 0)
Simplifying, we get:
y + 7 = 3x
Therefore, the equation of the line is:
y = 3x - 7
Step-by-step explanation: