A line has a slope of 35 and passes through the point (11,6). Write its equation in slope-intercept form.

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Step 1: Identify the slope (m) and the coordinates of the point (x, y) through which the line passes. In this case, m = 35 and the point is (11, 6).

Step 2: Substitute the slope and the coordinates of the point into the equation. This gives us 6 = 35*11 + b.

Step 3: Solve for b (the y-intercept). This involves subtracting 3511 from both sides of the equation, which gives us b = 6 - 3511.

Step 4: Calculate the value of b. This gives us b = -369.

Step 5: Substitute the slope (m) and the y-intercept (b) back into the equation y = mx + b. This gives us the equation of the line in slope-intercept form: y = 35x - 369.

The slope-intercept form of a line is given by the