Question

PLEASE HELP NOW! (-2, -4) and (-3, -3) in a linear equation

Answer 1

The linear equation is y = -x - 6

Step-by-step explanation:

To form a linear equation from two points lie on the line which the equation represented it

• Find the slope of the line by using the formula $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
• Then use the slope-intercept form of the equation y = m x + b
• To find the value of b substitute x and y of the equation by the coordinates of one of the two given points

∵  Points (-2 , -4) and (-3 , -3) lie on the line

∴ $x_{1}$ = -2 and $x_{2}$ = -3

∴ $y_{1}$ = -4 and $y_{2}$ = -3

- Substitute these values in the formula of the slope

∵ $m=\frac{-3-(-4)}{-3-(-2)}=\frac{-3+4}{-3+2}=\frac{1}{-1}$

∴ m = -1

∵ The form of the equation is y = m x + b

∵ m = -1

∴ y = (-1) x + b

∴ y = -x + b

To find b substitute x and y in the equation by the coordinates of

point (-2 , -4) OR (-3 , -3)

∵ x = -3 and y = -3

∴ -3 = -(-3) + b

∴ -3 = 3 + b

- Subtract 3 from both sides

∴ -6 = b

∴ The equation is y = -x + (-6)

∴ y = -x - 6

The linear equation is y = -x - 6

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