Question

Given coordinates (7,19), Part A - Find the slope using these coordinates. Part B - Find the equation of the line in point-slope form.

A. Slope: 19/7, Equation: y - 19 = (19/7)(x - 7)
B. Slope: 7/19, Equation: y - 19 = (7/19)(x - 7)
C. Slope: -19/7, Equation: y + 19 = (-19/7)(x - 7)
D. Slope: -7/19, Equation: y + 19 = (-7/19)(x - 7)

Answer 1

The slope is 19/7, and the equation of the line in point-slope form is y - 19 = (19/7)(x - 7).

Step-by-step explanation:

To find the slope of a line using two coordinates, you need to use the formula: slope = (change in y) / (change in x). In this case, the coordinates are (7,19). The change in y is 19 - 0 = 19, and the change in x is 7 - 0 = 7. So the slope is 19/7.

To find the equation of the line in point-slope form, you can use the formula: y - y1 = m(x - x1), where (x1, y1) are the coordinates. Plugging in the values, the equation becomes y - 19 = (19/7)(x - 7), which simplifies to y - 19 = (19/7)x - 19.