Use the given conditions to write an equation for the line in point'slope form and slope-intercept form. Slope= -5, passing through (-9,-6) type the point-slope form ot the line Type the slope-intercept form of the line
-5/1 = (y+6)/(x+9)
-5(x+9) = y+6
-5 x - 45 = y + 6
y = -5 x -51
y = -5 x + b
-6 = -5(-9) + b
b = -51
To write the equation of a line in point-slope form, we can use the formula:
y - y1 = m(x - x1),
where m is the slope of the line, and (x1, y1) are the coordinates of a point on the line.
Given:
Slope (m) = -5,
Point (-9, -6).
Substituting the values into the formula, we get:
y - (-6) = -5(x - (-9)).
This simplifies to:
y + 6 = -5(x + 9).
This is the equation of the line in point-slope form.
To convert this to slope-intercept form (y = mx + b), where b is the y-intercept, let's simplify the equation further:
y + 6 = -5x - 45.
Subtracting 6 from both sides, we have:
y = -5x - 51.
This is the equation of the line in slope-intercept form.
To write the equation of a line in point-slope form, we can use the formula:
y - y1 = m(x - x1)
where (x1, y1) represents a point on the line and m represents the slope of the line.
Given that the slope of the line is -5 and it passes through the point (-9, -6), we can substitute these values into the point-slope form equation:
y - (-6) = -5(x - (-9))
Simplifying this equation:
y + 6 = -5(x + 9)
Next, let's rewrite the equation in slope-intercept form, which has the form y = mx + b, where m is the slope and b is the y-intercept. To obtain this form, we need to rearrange the equation to solve for y.
y + 6 = -5x - 45
Subtracting 6 from both sides:
y = -5x - 51
The equation of the line in point-slope form is y + 6 = -5(x + 9), and in slope-intercept form, it is y = -5x - 51.