Question

Use point-slope form to write the equation of a line that passes through the point (13,5) with slope 11.

a) y−5=11(x−13)
b) y+5=11(x+13)
c) y=11x−13
d) y=11x+5

Answer 1

The equation of the line is y = 11x + 5.

Step-by-step explanation:

The equation of a line can be written in point-slope form as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, the point is (13,5) and the slope is 11. Plugging in these values, we get the equation y - 5 = 11(x - 13), which can be simplified to y - 5 = 11x - 143. Adding 5 to both sides, we get y = 11x - 138, which is equivalent to option d) y = 11x + 5.