Answer:
c) 6x - 5y = 15
Step-by-step explanation:
Slope-intercept form of a linear equation:
(where m is the slope and b is the y-intercept)
Maria's line:
Therefore, the slope of Maria's line is
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope of Nate's line (m) is:
Therefore, the linear equation of Nate's line is:
Rearranging this to standard form:
Therefore, <u>option c</u> could be an equation for Nate's line.
Answer:
- 1
Step-by-step explanation:
Slope of the line
Answer:
<em>y = 3x - 17</em>
Step-by-step explanation:
Here is the point-slope form of the equation of a line.
If you are given a slope, m, and a point on the line, (x1, y1), you just plug in the values into the equation above, and you get the equation of the line.
In your problem, you are given a point on the line, (5, -2). Now you need the slope of the line. Your line is perpendicular to the given line. The slopes of perpendicular lines are negative reciprocals. If you know the slope of a line, the slope of its perpendicular is found by flipping the fraction and changing the sign.
The given line has slope -1/3.
Flip -1/3 to get -3.
Now change the sign to get 3.
The slope of the line you need is 3. The line passes through point (5, -2).
Now we use the point-slope equation and we plug in the values we have.