Write the equation of the line in slope intercept form when the line is 1 on x-axis and -2 on the y-axis
To find the equation of the line in slope-intercept form (y = mx + b) when it passes through the point (1, -2) on the x and y axes respectively, we need to first find the slope (m) of the line.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Substitute the coordinates of the given points (1, -2) and (0, 0) into the formula:
m = (-2 - 0) / (1 - 0)
m = -2 / 1
m = -2
Now that we have the slope (m = -2), we can use the point-slope formula to find the equation of the line. We choose the point (1, -2) to substitute into the equation.
y - y1 = m(x - x1)
y - (-2) = -2(x - 1)
y + 2 = -2x + 2
y = -2x + 2 - 2
y = -2x
Therefore, the equation of the line passing through the point (1, -2) in slope-intercept form is y = -2x.