Rewrite the equation \(4x + 5y = 20\) in slope-intercept form.
Answer (3)
y = (-4/5)x + 4 is the slope intercept form of the equation 4x+5y=20 .
To write the equation 4x + 5y = 20 in slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept , we need to solve for "y."
Let's rearrange the equation step by step:
4x + 5y = 20
Subtract 4x from both sides to isolate the term with "y":
5y = -4x + 20
Divide both sides by 5 to isolate "y" and obtain its coefficient:
y = (-4/5)x + 4
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4x+5y=20 in slop intercept form would be y= (-4/5)x + 4.
Slope intercept form is y=mx+b. So you would first subtract 4x from both sides. This ends up being 5y= -4x +20. Then divide both sides by 5. This gets you y= (-4/5)x +4.
The equation 4 x + 5 y = 20 can be rewritten in slope-intercept form as y = − 5 4 x + 4 . Here, − 5 4 represents the slope and 4 is the y-intercept. This means the line descends as it moves from left to right, crossing the y-axis at (0, 4).
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