The equation of a line in point-slope form is y - y * 1 = m(x - x * 1) , where (x1, y1) is a point on the line and m is the slope of the line.
In this case, we are given the point (1, 5) and the slope m = - 3 . To write the equation in point-slope form, we substitute the values into the equation:
y - 5 = - 3(x - 1)
Now, we can simplify the equation by distributing the -3:
y - 5 = - 3x + 3
To isolate y, we can add 5 to both sides of the equation:
y = - 3x + 8
Now, we can simplify the equation by distributing the -3:
y - 5 = - 3x + 3
To isolate y, we can add 5 to both sides of the equation:
y = - 3x + 8
Therefore, the equation in point-slope form for the line that passes through the point (1, 5) with a slope of -3 is y = - 3x + 8