Question

Find the slope intercept form of a line with a slope of -5 and goes through the point(1,9)

Answer 1

y=-5x +14

Step-by-step explanation:

Given a point on the line and the slope, we can obtain the equation of the line using the formula:

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

In this case:

`\begin{gathered} \text{Slope, m=}-5 \\ (x_1,y_1)=(1,9) \end{gathered}`

Substitution in the formula above gives:

`\begin{gathered} y-9=-5(x-1) \\ y-9=-5x+5 \\ y=-5x+5+9 \\ y=-5x+14 \end{gathered}`

Note that the slope-intercept form of a line is given as: y=mx+b.

Where:

• m=slope

,

• b=y-intercept