Question

Slope is 3/7,and (4,9) is on the line

Answer 1

Answer:

$y-9=\frac{3}{7}(x-4)$

or

$y=\frac{3}{7}x+\frac{51}{7}$

Step-by-step explanation:

To write the equation of the line using a slope and a point, use the point-slope formula $y-y_1 = m(x-x_1)$. Here m is 3/7. And the point $(x_1,y_1)$ is (4,9). Substitute the values and simplify.

$y-y_1=m(x-x_1)\\y-9=\frac{3}{7}(x-4)\\y-9=\frac{3}{7}x - \frac{12}{7}\\y=\frac{3}{7}x -\frac{12}{7} + 9\\y=\frac{3}{7}x + \frac{51}{7}$

Both the point slope form and the final simplified form are considered equations of the line.