Question

can you please solve this practice problem for me I really need assistance? What is the y-intercept, slope, and equation of the below line?

Answer 1

i agree w/ what daina said ^

Answer 2

Y-intercept = 0

Slope = 1/4

Equation of the line: y = x/4

Step-by-step 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;

`\text{Slope(m)}=(y_2-y_1)/(x_2-x_1)=(8-1)/(32-4)=(7)/(28)=(1)/(4)`

The slope-intercept form of the equation of a line generally given as;

`y=mx+b`

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;

`\begin{gathered} y=(1)/(4)x+0 \\ y=(1)/(4)x \end{gathered}`