Question

Write a linear equation for the line that goes through point (5,7) and has a slope of 3.

Answer 1

y = 3x - 8

Step-by-step explanation

The equation of a line is:

`y=mx+b`

where m is the slope and b is the y-intercept.

In this problem we know that the slope is m = 3. To find the y-intercept we have to replace x and y by the point and solve for b:

`\begin{gathered} y=3x+b \\ 7=3\cdot5+b \\ 7=15+b \\ b=7-15 \\ b=-8 \end{gathered}`

Therefore, the equation is:

`y=3x-8`