In the coordinate plane, what is the length of the line segment that connects points at (0, −1) and (−7, −2) ?
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Answer:
The third choice is the one you want
Step-by-step explanation:
If we are to write the equation of a line perpendicular to WX, we first must determine what the slope of the WX is, because the line perpendicular to WX has a slope that is the flip of the slope of WX with the opposite sign. Solving for y takes care of finding the slope of WX:
2x + y = -5 so
y = -2x - 5
The slope is -2. That means that the reciprocal slope is 1/2. Using that slope along with the coordinates x = -1 and y = -2, we first write the line using point-slope form and then solve it for y. Start by filling in the m, the x value and the y value:
Getting rid of the double negatives gives us:
Distributing then gives us:
And finally solving for y (I am going to express the 2 on the left as 4/2 when I move it by subtraction in order to add those fractions):
And the final equation in slope-intercept form is: