Question

Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a slope of 2/3

Answer 1

Answer:

$y=\frac{2}{3}x+\frac{4}{3}$

Step-by-step explanation:

The equation of a line in point-slope form is given by $y-y_1= m(x-x_1)$. Here, m is the slope while $(x_1, y_1)$ is a coordinate on the line.

Given: point (1, 2) and slope= $\frac{2}{3}$

Upon substitution:

$y-2= \frac{2}{3}(x-1)$

We now have the equation of the line in the point-slope form.

In the slope-intercept form (y= mx +c), the term y is on the left-hand side of the equation while the rest are on the right of the equation. Ensure that the coefficient of y is 1.

Expand:

$y-2=\frac{2}{3}x-\frac{2}{3}$

Adding 2 to both sides:

$y= \frac{2}{3}x -\frac{2}{3}+2$

$\bf{y=\frac{2}{3}x +\frac{4}{3} }$

To learn more about point-slope form of a line, do check out: https://brainly.com/question/18894159