Write the slope-intercept form of the equation of the line satisfying the given conditions.
Through (1,9); slope -9
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Given slope = -9, we can substitute this value into the equation: y = -9x + b.
To find the value of b, we can substitute the coordinates of the given point (1, 9) into the equation.
9 = -9(1) + b
9 = -9 + b
b = 9 + 9
b = 18
Therefore, the equation of the line in slope-intercept form is:
y = -9x + 18
The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept.
Given that the line passes through (1, 9) and has a slope of -9, we can substitute these values into the equation.
So, the equation of the line in slope-intercept form is:
y = -9x + b
To find the value of b (the y-intercept), we can substitute the coordinates (1, 9) into the equation:
9 = -9(1) + b
9 = -9 + b
9 + 9 = b
18 = b
Therefore, the equation of the line is:
y = -9x + 18.
To find the equation of a line in slope-intercept form (y = mx + b), we need the slope (m) and the coordinates of a point on the line (x, y).
Given:
Point: (1, 9)
Slope: -9
The slope-intercept form of the equation of the line is y = mx + b, where m is the slope and b is the y-intercept.
We have the slope, which is -9. So, we know that m = -9.
To find the y-intercept (b), we can substitute the coordinates of the given point (x, y) into the slope-intercept form and solve for b.
Using the point (1, 9):
9 = (-9)(1) + b
9 = -9 + b
To solve for b, we add 9 to both sides of the equation:
9 + 9 = b
18 = b
Now that we have the value of b, we can write the equation of the line in slope-intercept form:
y = mx + b
y = -9x + 18
Therefore, the slope-intercept form of the equation of the line satisfying the given conditions is y = -9x + 18.