Write the​ slope-intercept form of the equation of the line satisfying the given conditions.

Through ​(1​,9​); slope -9

1 answer

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