Given points:
(0, -4) and (3, 0)
Plotting the points:
To find the equation of the line, we will use the formula:
y = mx + b
where m = slope
b = y-intercept
Using the slope formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=0,y_1=-4,x_2=3,y_2\text{ = 0} \\ m\text{ = }\frac{0-(-4)}{3\text{ - 0}} \\ m\text{ = }\frac{0+4}{3} \\ m\text{ = 4/3} \end{gathered}[/tex]y-intercept is the value of y when x = 0
From the points, given, when x = 0, y = -4
Hence, y-intercept = y = -4
The equation becomes:
[tex]\begin{gathered} y\text{ = }\frac{4}{3}x\text{ + (-4)} \\ y\text{ = }\frac{4}{3}x\text{ -4} \end{gathered}[/tex]
