Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through $( 2,1 )$ and $( 3,18 )$.
A) $y = 17 x + 33$
B) $y = 19 x + 33$
C) $y = 19 x - 33$
D) $y = 17 x - 33$

Question

Quizplus · Accepted Answer

First, calculate the slope (m) using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, which gives $m = \frac{18 - 1}{3 - 2} = 17$. Then, use one of the points, say $(2,1)$, and the slope to find the y-intercept (b) using $y = mx + b$, which gives $1 = 17(2) + b$, solving for b gives $b = -33$. Thus, the equation is $y = 17x - 33$.

Write an Equation of the Line Satisfying the Given Conditions (2,1)( 2,1 )(2,1)

Write an Equation of the Line Satisfying the Given Conditions $( 2,1 )$