Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through $( 4,1 )$ and $( 2,9 )$.
A) $y = - 4 x + 15$
B) $y = - 4 x - 17$
C) $y = - 4 x + 17$
D) $y = 4 x + 15$

Question

Quizplus · Accepted Answer

The slope of the line passing through the points $( 4,1 )$ and $( 2,9 )$ is $$m = \frac{9-1}{2-4} = -4$$Using the point-slope form of a linear equation, we have:$$y - 1 = -4(x - 4)$$Simplifying this equation to slope-intercept form, we get:$$y = -4x + 17$$

Write an Equation of the Line Satisfying the Given Conditions (4,1)( 4,1 )(4,1)

Write an Equation of the Line Satisfying the Given Conditions $( 4,1 )$