Question

Write the standard form of the line with the given information. Include your work in your final answer. Type your answer in the box provided to submit your solution. The line that contains a slope of 1/2 and passes through the point (-2, -3).

Answer 1

The standard form of the line with a slope of 1/2 passing through (-2, -3) is x - 2y = -4 after using the point-slope form and rearranging it into Ax + By = C.

Step-by-step explanation:

To write the equation of the line with a slope of 1/2 that passes through the point (-2, -3), we can use the point-slope form of a line equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through. Plugging in the given values, we get:

y - (-3) = ½(x - (-2))

y + 3 = ½(x + 2)

To convert this to standard form, which is Ax + By = C, we need to get rid of the fraction and have x and y on the same side:

2(y + 3) = 1(x + 2)

2y + 6 = x + 2

Subtract 2y and 2 from both sides to get:

x - 2y = -4

This is the standard form of the equation of the line.