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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?

can you please solve this practice problem for me I really need assistance? What is-example-1
User Jtobelem
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i agree w/ what daina said ^
User Fedorenko Kristina
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Answer:

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}

User ValeriiVasin
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