Question

Write the equation of a line that has a slope of -3 and passes through the point (1.25, -4).

Use the drop-down menus to select the appropriate values in the equation,
y = [Select the correct value from the drop-down menu] x + [Select the correct value from the drop-down menu].

Answer 1

The equation of the line with a slope of -3 that passes through the point (1.25, -4) is y = -3x - 0.25.

Step-by-step explanation:

To write the equation of a line with a given slope and that passes through a specific point, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and m is the slope. In this case, the slope (m) is -3, and the line passes through the point (1.25, -4). Plugging these values into the equation, we get:

y - (-4) = -3(x - 1.25)

Simplifying this equation:

y + 4 = -3x + 3.75

Subtracting 4 from both sides, we get:

y = -3x + 3.75 - 4

y = -3x - 0.25

Therefore, the correct equation of the line is y = -3x - 0.25.