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slope = -10 and passing through (8,-9). Write your equation in point-slope AND slope-intercept forms.

Sagot :

Answer:

Point-slope form:

y - y1 = m(x - x1)

where (x1, y1) = (8, -9) and m = -10

y - (-9) = -10(x - 8)

y + 9 = -10x + 80

Point-slope form: y + 9 = -10x + 80

Slope-intercept form (y = mx + b):

y = -10x + b

Substitute (x, y) = (8, -9) to find b:

-9 = -10(8) + b

-9 = -80 + b

b = 71

Slope-intercept form: y = -10x + 71

Hi1315

Answer:

Point-Slope Form:  y + 9 = -10(x - 8)

Slope-Intercept Form:  y = -10x + 71

Step-by-step explanation:

To find the equation of a line with a given slope and passing through a specific point, we can use the point-slope form and then convert it to the slope-intercept form.

Given:

Slope  m = -10

Point [tex](x_1, y_1)[/tex] = (8, -9)

Point-Slope Form

The point-slope form of a line is given by:

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute the given point and slope into the equation:

y - (-9) = -10(x - 8)

y + 9 = -10(x - 8)

Slope-Intercept Form

To convert the equation to the slope-intercept form ( y = mx + b ), solve for  y :

y + 9 = -10(x - 8)

y + 9 = -10x + 80

y = -10x + 80 - 9

y = -10x + 71

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