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
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