Question 1

Find the equation of the line that passes through the point $(- 3, 7)$ and has slope $\frac{2}{3}$ . Simplify your equation to the following form.
$y = \frac{2}{3} x +$

What is the missing value in the equation above?

Answer

Expert–verified

Hide Steps

Answer

So, the missing value in the equation $y = \frac{2}{3} x + b$ is $9$ .

Steps

Step 1 ：We are given a point (-3,7) and a slope of 2/3. We are asked to find the equation of the line that passes through this point and has this slope.

Step 2 ：We can use the point-slope form of a line, which is $y - y_{1} = m (x - x_{1})$ , where $m$ is the slope and $(x_{1}, y_{1})$ is the given point.

Step 3 ：Substituting the given values into the equation, we get $y - 7 = \frac{2}{3} (x + 3)$ .

Step 4 ：Solving for $y$ , we get $y = \frac{2}{3} x + 9$ .

Step 5 ：So, the missing value in the equation $y = \frac{2}{3} x + b$ is $9$ .

Question 1 Find the equation of the line that passes through the point (−3,7) and has slope 23. Simplify your equation to the following form.y=23x+ What is the missing value in the equation above?

Answer

Popular Problems

Question 1

Find the equation of the line that passes through the point $(- 3, 7)$ and has slope $\frac{2}{3}$ . Simplify your equation to the following form.
$y = \frac{2}{3} x +$

What is the missing value in the equation above?