Step 1:
[tex]\text{slope}=\frac{y2-y1}{x2-x1}=\frac{-2-1}{4-0}=-\frac{3}{4}[/tex]
Step 2: The equation is of the form y = mx + b, where m is the slope and b is the intercept, so we use the point (0,1) to find the y-intercept:
[tex]\begin{gathered} y=mx+b \\ 1=-\frac{3}{4}(0)+b \\ b=1 \end{gathered}[/tex]
y-intercept is 1
Step 3: The equation of the line in slope-intercept form is
[tex]y=-\frac{3}{4}x+1[/tex]
Step 4: Graphing
for x = -4, y = 4
for x = 0, y = 1
for x =4, y = -2
