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Write equation in slope intercept form

Write equation in slope intercept form-example-1

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Final answer:

To write the given equations in slope-intercept form, distribute the coefficient of 'x' on the right-hand side, then solve for 'y' to get y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Step-by-step explanation:

The subject of this question is Mathematics, specifically dealing with equations of straight lines.

Slope-Intercept Form of an Equation

For the equation y - 3 = -5(x + 12), we want to convert it into slope-intercept form, which is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

First, distribute the -5:
y - 3 = -5x - 60

Then, add 3 to both sides:
y = -5x - 57

For the equation y - 2/3 = -2(x - 1/4), distribute the -2:
y - 2/3 = -2x + 1/2

To get y alone, add 2/3 to both sides:
y = -2x + 1/2 + 2/3

Combine like terms to get the final slope-intercept form:
y = -2x + 7/6

User Kirk Roybal
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