The graph of the equation x – 2y = 5 has an x-intercept of 5 and a slope of StartFraction one-half EndFraction. Which shows the graph of this equation?

A coordinate plane with a line passing through (0, negative 2) and (4, 0).

A coordinate plane with a line passing through (0, 0.5) and (1, negative 1.5).

A coordinate plane with a line passing through (negative 2, 0) and (0, negative 1).

A coordinate plane with a line passing through (negative 3, negative 4) and (5, 0).

Answer :

YehBoiAoes

Answer:

Graph D

Step-by-step explanation:

Look, I'm trying here, I tried the graphing calculator and it appeared as Graph D

abidemiokin

The graph of the equation is a coordinate plane with a line passing through (-3, -4) and (5, 0). Option D is correct

Equation of a line

A line is the shortest distance between two points. The equation of a line in slope intercept form is expressed as y = mx + b

where:

  • m is the slope
  • b is the y-intercept

Given the equation x - 2y = 5

Write in slope-intercept form;

-2y = -x + 5

y = 1/2 x - 5/2

We need two points passing through the line, we will find the x and y-intercept

If x = -3

y = 1/2(-3) - 5/2

y = -3/2 - 5/2
y = -4

Hence one of the coordinate point is (-3, -4)

If x = 5

y = 1/2(5) - 5/2

y = 5/2 -5/2

y = 0

Hence one of the coordinate point is (5, 0)

Hence the graph of the equation is a coordinate plane with a line passing through (-3, -4) and (5, 0).

Learn more on equation of a line here: https://brainly.com/question/18831322

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