the equation of the line that is perpendicular to the line with equation y=-2x-1 and passes through the point (1, -2) is?

Step-by-step explanation:

Hi there!

Note that:

Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals of each other (ex. 3 and -1/3, 5/6 and -6/5, etc.)

1) Determine the slope (m)

When we look at the given line, , we can identify that -2 is in the place of m, the slope of the line. Because perpendicular lines are negative reciprocals of each other, we know that a line perpendicular to this would have a slope of . Plug this into :

2) Determine the y-intercept (b)

Plug in the given point (1,-2)

Subtract 1/2 from both sides

Therefore, the y-intercept of the line is . Plug this back into

I hope this helps!

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step-by-step explanation:

12 minutes