Question

1) Find the equation of the line with slope equal to 3 and passing through point (3, 4). Write the equation in slope-intercept form.

Answer 1

y = 3x - 5

Step-by-step explanation:

The equation of a line with slope m that passes through the point (x1, y1) can be calculated as:

`y-y_1=m(x-x_1)`

So, replacing the slope m by 3, and the point (x1, y1) by (3, 4), we get:

`y-4=3(x-3)`

Finally, to write the equation in slope-intercept form, we need to solve for y, so:

`\begin{gathered} y-4=3(x)-3(3) \\ y-4=3x-9 \\ y-4+4=3x-9+4 \\ y=3x-5 \end{gathered}`

Therefore, the answer is y = 3x - 5