To find the equation of a line in slope-intercept form, we can use the formula:
y = mx + b
where m represents the slope of the line and b is the y-intercept.
In this case, the slope m is given as 4, and we have a point on the line, which is (6, 1). We can substitute these values to find b.
Start by substituting the slope and the coordinates of the point into the equation:
1 = 4(6) + b
Now, calculate:
1 = 24 + b
To isolate b, subtract 24 from both sides:
b = 1 – 24
b = -23
Now that we have both m and b, we can write the equation of the line:
y = 4x – 23
This is the equation in slope-intercept form for the line passing through the point (6, 1) with a slope of 4.