Which equations and/or functions represent the graphed line? Select three options.

A coordinate plane with a line passing through the points $(-4, 0)$, $(-2, 1)$, $(0, 2)$, and $(2, 3)$.

Question

High School

We're glad you stopped by Which equations and or functions represent the graphed line Select three options A coordinate plane with a line passing through the points 4 0 2. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!

Answer :

akposevictor akposevictor · Answer 1 · 2025-01-30T02:02:50-05:00

The equations of the graphed line and function can be written as:

f(x) = 1/2x + 2

y - 3 = 1/2(x - 2)

y - 1 = 0.5(x + 2)

Equation of a graphed line can be expressed in:

Slope-intercept form as y = mx + b, where m = slope, b = y-intercept; or

Point-slope form as y - b = m(x - a), where (a, b) is a point and m = slope.

Find the slope (m) of the line:

Slope (m) = change in y / change in x = 1/2 = 0.5

y-intercept (b) = 2

To express the graphed line in slope-intercept form, substitute m = 1/2 and b = 2 into f(x) = mx + b:

f(x) = 1/2x + 2.

Using the point-slope form, write the equation by substituting m = 1/2 and (a, b) = (2, 3) into y - b = m(x - a):

y - 3 = 1/2(x - 2)

Or substitute m = 0.5 and (a, b) = (-2, 1) into y - b = m(x - a):

y - 1 = 0.5(x - (-2))

y - 1 = 0.5(x + 2)

Learn more about the equation of a graphed line on:

https://brainly.com/question/11490660

#SPJ1