Question

7)Find the equation of the line that goes throughthe points (-1, 4) and (0, 5).Find m:Which point is the y-intercept?x43bEquation in the form y = mx + b:Graph the line:Y

Answer 1

Given the following question:

Point A = (-1, 4) = (x1, y1)

Point B = (0, 5) = (x2, y2)

$m=\frac{y2-y1}{x2-x1}$$\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{5-4}{0--1}=\frac{1}{1}=1 \\ m=1 \end{gathered}$

Now write in slope intercept form where...

$\begin{gathered} y=mx+b \\ m=1 \\ y=4 \\ x=-1 \end{gathered}$

Substitute to find b:

$\begin{gathered} 4=1(-1)+b \\ 1\times-1=-1 \\ \text{ +1 on both sides} \\ 4+1=5 \\ 5=b \\ b=5 \\ y=1x+5 \end{gathered}$

b = 5

y intercept is (0, 5)

Now graph the following equation: