Check the picture below.
The slope of the line below is - 8/7 Write a point-slope equation of the line
1 answer:
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Answer:
Step-by-step explanation:
Given
Points:
Required
Determine the equation of line that is perpendicular to the given points and that pass through
First, we need to determine the slope, m of FG
Where
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The question says the line is perpendicular to FG.
Next, we determine the slope (m2) of the perpendicular line using:
The equation of the line is then calculated as:
Where
Multiply through by 2
Add x to both sides
Hence, the line of the equation is
Answer:
The equation in the slope-intercept form is y = + -6 ⇒ C
Step-by-step explanation:
The slope-intercept form of the linear equation is
y = m x + b, where
- m is the slope of the line
- b is the y-intercept
∵ The equation is 13x - 3y = 18
→ At first move x from the left side to the right side by subtracting 13x
from both sides
∴ 13x - 13x - 3y = 18 - 13x
∴ - 3y = 18 - 13x
→ Make the coefficient of y equal 1 by dividing both sides by -3
∵
∴ y = -6 - ()
→ Remember (-)(-) = (+)
∴ y = -6 +
→ Switch the two terms of the right side
∴ y = + - 6
∴ The equation in the slope-intercept form is y = + -6