Question

Use point-slope form to write the equation of a line that passes through the point left bracket, 7, comma, 19, right bracket(7,19) with slope start fraction, 14, divided by, 9, end fraction 9 14 ​ .

Answer 1

The equation of a line in point-slope form that passes through the point (7, 19) with a slope of 14/9 is y - 19 = (14/9)(x - 7).

Step-by-step explanation:

To write the equation of a line in point-slope form, we use the formula 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 line passes through the point (7, 19) and has a slope of \(rac{14}{9}\). Substituting these values into the point-slope form, we get:

y - 19 = \(rac{14}{9}\)(x - 7)

This is the equation of the line in point-slope form. If you want to convert it to slope-intercept form, you can simply distribute the slope and combine like terms to solve for y.