Choose the equation that represents the line passing through the point (2, - 5) with a slope of −3.A y = −3x − 13 ,B y = −3x + 11 ,C y = −3x + 13, D y = −3x + 1
Mathematics · High School · Mon Jan 18 2021
Answered on
Given:
( 2, -5)
x1 = 2
y1 = -5
slope (m) = -3
Determine the equation that represents the line.
Solution:
The given condition is represented in the slope-intercept form:
Slope-intercept form:
y =mx+b
Hence before we can represent the given in slope-intercept form, we first represent it in point-slope form.
Point - slope form:
y - y1= m (x - x1)
Substitute the given values of x1, y1, and slope to the equation for point-slope form/
y - (-5) = -3 ( x - 2)
y + 5 = -3( x - 2)
In order to determine the equation in slope-intercept form, we simply distribute -3 to each value in the parenthesis, then we transpose 5 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
y + 5 = -3x + 6
y = -3x + 6 -5
y = -3x - 1
Final answer:
D y = −3x + 1