Question

Write the equation in slope-intercept form, and detemine the slope and -intercept. Write the -intercept as an ordered pair.- 5 x + 4y = - 20

Answer 1

Given: Equation of a line

`-5x+4y=-20`

Required: Write the equation in slope-intercept form and find the slope and intercepts.

Explanation: The slope-intercept form of a line is

`y=mx+c`

Where m is the slope and c is the y-intercept of the line. Similarly, for the equation

`x=my+c`

m is the slope, and c is the x-intercept of the line.

we can write the equation of the line given as

`\begin{gathered} 4y=5x-20 \\ y=(5)/(4)x-5 \end{gathered}`

Hence, the y-intercept is -5 and the slope

`m=(5)/(4)`

The ordered pair for the intercept is (0,-5), and the slope is 5/4.

Final Answer: The slope is 5/4.

The intercept is (0,-5)

The equation written in slope-intercept form is

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

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