Write the equation of a line that passes through the points shown in the table.
Which equations represent a line that passes through the points given in the table? Check all that apply.
y – 2 = –6(x + 10)
y – 2 = –(x + 10)
y – 1 = –(x + 4)
y = –6x – 58
y = –x +
y = –x + 5
To determine which equations represent a line that passes through the points given in the table, we need to use the information provided in the table. However, since the table details are not included in the question, I cannot provide the specific answers without knowing the points.
However, I can still explain the general steps you would take to find the equation of the line passing through two points from a table of values.
1. Identify the two points from the table.
2. Use the points (x1, y1) and (x2, y2) to calculate the slope (m) of the line: m = (y2 - y1)/(x2 - x1)
3. Use the slope (m) and one of the points (x1, y1) to write the point-slope form of the line: y - y1 = m(x - x1)
4. Simplify the equation if needed to get the equation of the line in slope-intercept form (y = mx + b) or standard form (Ax + By = C).
Once you follow these steps using the data in the table, you can then compare the resulting equation with the possible choices provided to select the equations that represent the line passing through those points.