line cd passes through points c(1, 3) and d(4, -3). if the equation of the line is written in slope…
line cd passes through points c(1, 3) and d(4, -3). if the equation of the line is written in slope - intercept form, y = mx + b, what is the value of b?\n-5\n-2\n1\n5
Answer
Answer:
5
Explanation:
Step1: Calculate the slope $m$
$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{-3 - 3}{4 - 1}=\frac{-6}{3}=-2$
Step2: Substitute a point and $m$ into $y=mx + b$
Using point $C(1,3)$, substitute $x = 1$, $y = 3$ and $m=-2$ into $y=mx + b$. So, $3=-2\times1 + b$.
Step3: Solve for $b$
$3=-2 + b$, then $b=3 + 2=5$.