Question

Can you please help me solve this problem:Write an equation in slope intercept form, but if it can’t be written in that form write it in standard form.24. Passes through the point (3,5) and has a slope of 2

Answer 1

y = 2x - 1

Explanation:

We have the equation of the line in its slope-intercept form:

`\begin{gathered} y=mx+b \\ \\ \text{ where m is the slope and b is the y-intercept} \end{gathered}`

With the help of the slope and the point (3, 5), we calculate the value of b, like this:

`\begin{gathered} 5=2\cdot3+b \\ \\ 5=6+b \\ \\ b=5-6 \\ \\ b=-1 \end{gathered}`

Therefore, the equation in slope-intercept form that passes through the point (3,5) and has a slope of 2 is y = 2x - 1