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User Oatmeal
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2 Answers

6 votes

Answer:

Slope-intercept form

  • y = (-5/4)x + 5

Explanation:

The coordinates are,

→ x1 = 0, y1 = 5

→ x2 = 4, y2 = 0

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Now the slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (0 - 5)/(4 - 0)

→ [ m = -5/4 ]

The y-intercept is,

→ y1 = 5

→ [ b = 5 ]

Then slope-intercept form is,

→ y = mx + b

→ y = (-5/4)x + 5

Thus, answer is y = (-5/4)x + 5.

User MietieMn
by
7.6k points
8 votes

Answer:


y=-(5)/(4)x+5

Explanation:


\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=(y_2-y_1)/(x_2-x_1)$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}

From inspection of the given graph, two points on the line are:

  • A = (0, 5)
  • B = (4, 0)

Substitute the two points into the slope formula to find the slope of the line:


\implies m=(0-5)/(4-0)=-(5)/(4)


\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}

From inspection of the given graph, the y-intercept is (0, 5), therefore b = 5. Substitute the found slope and y-intercept into the slope-intercept formula:


\implies y=-(5)/(4)x+5

User Denisa
by
7.0k points