Question

Write the equation of the line that passes through (3, 4) and (2, –1) in slope-intercept form.

Answer 1

ANSWER:
`y=9x-23`

Step-by-step explanation:

We can use the slope-formula to find the slope.

`\text{Slope Formula:} (y_(2)-y_(1))/(x_(2)-x_(1))\\\\(4+5)/(3-2) =m\\\\(9)/(1) = m\\\\9=m`

Now that we have the slope, we can plug in one of the x and y values into the slope-intercept formula to find b.

`\text{Slope-Intercept Formula}:y=mx+b\\\\4=9(3)+b\\\\4=27+b\\\\-23=b`

The equation of the line that passes through (3, 4) and (2, -1) is
`y=9x-23`