Transform the equation [tex]x - 3y = -15[/tex] to express it in slope-intercept form.

x-3y=-15 -3y=-x-15 -1(-3y=-x-15) 3y=x+15 3/3y=1/3x+15/3 y=1/3x+5

Answered by rayray151 | 2024-06-10

The equation x - 3y = -15, when expressed in slope-intercept form, becomes y = (1/3)x + 5.
To express the equation x - 3y = -15 in** slope-intercept **form, which is y = mx + b, where m represents the slope and b represents the y-intercept, we need to isolate y on one side of the equation .
Let's begin by moving the x term to the other side of the equation:
x - 3y = -15
Subtracting x from both sides, we have:
-3y = -x - 15
Next, we divide both sides by -3 to isolate y:
y = (1/3)x + 5
Now, the equation is in slope-intercept form. The coefficient of x, which is (1/3), represents the slope of the line . In this case, the slope is positive (1/3), indicating that as x increases by 1 unit, y increases by (1/3) unit. The y-intercept, which is the value of y when x is 0, is 5. This means the line crosses the y-axis at the point (0, 5).
To learn more about the slope ;
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Answered by rachanavt02 | 2024-06-17

To convert the equation x − 3 y = − 15 to slope-intercept form, isolate y to get y = 3 1 ​ x + 5 . The slope is 3 1 ​ and the y-intercept is 5 .
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Answered by rachanavt02 | 2024-09-05