Answer:
Y-intercept = 0
Slope = 1/4
Equation of the line: y = x/4
Explanation:
The y-intercept of a line is where the line cuts the y-axis.
So looking at the given graph, we can see that the line passes through the origin, where x = 0 and y = 0. It means that the y-intercept is zero.
Let's go ahead and determine the slope of the line at (4, 1) and (32, 8) using the below formula;
[tex]\text{Slope(m)}=\frac{y_2-y_1}{x_2-x_1}=\frac{8-1}{32-4}=\frac{7}{28}=\frac{1}{4}[/tex]
The slope-intercept form of the equation of a line generally given as;
[tex]y=mx+b[/tex]
where m = slope of the line
b = y-intercept of the line
Since our slope(m) is 1/4 and y-intercept(b) is zero, let's substitute these values into our equation;
[tex]\begin{gathered} y=\frac{1}{4}x+0 \\ y=\frac{1}{4}x \end{gathered}[/tex]
