Question

write the equation of the line that goes through the point (0, -3) and is perpendicular to the line y= -2/5x + 6

Answer 1

When using the line, y = -2/5x + 6, the slope of the line is -2/5

The perpendicular line will have the same slope: $\frac{-2}{5}x$

In order to write an equation that goes through the point (0, -3), you have to write it in point-slope form.

Point-Slope Form Formula: y - y1 = m(x - x1) (quick note: the letter 'm' represents the slope)

Substitute '-3' for 'y1' and '0' for 'x1'

Answer: y + 3 = -2/5(x - 0)