Question

Graph the line that contains the point (-3,1) with a slope of 2/3

Answer 1

Answer:

The graph of the line that contains the point $(-3,1)$ with a slope of 2/3.

Step-by-step explanation:

As the line contains the point (-3, 1) with a slop 2/3

Given the slop-intercept form of the line equation

y = mx+b

Here,

• m = slope

• b = y-intercept

Substituting the values in the slop-intercept form of the line equation

$y = mx+b$

$1 = \frac{2}{3} (-3) + b$

$1 =- 2 + b$

switching sides

$-2+b=1$

$b=3$

Now Substituting the value of $b=3$ in the slop-intercept form of the line equation

$y = mx+b$

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

Hence, the line of the equation will be:  $y=\frac{2}{3} x+3$

Therefore, the graph of the line that contains the point $(-3,1)$ with a slope of 2/3.