Question

Use point-slopesto write the eq. in slope-int form. (1,5) and (5, 13)

Answer 1

y=2x+3.

Step-by-step explanation:

The point-slope form of the equation of a line is:

`\begin{gathered} y-y_1=m(x-x_1) \\ \text{where:} \\ \text{Slope, m=}=(y_2-y_1)/(x_2-x_1) \\ \implies y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1) \end{gathered}`

Substituting the points (x1,y1)=(1,5) and (x2,y2)=(5,13):

`\begin{gathered} y-5=(13-5)/(5-1)(x-1) \\ y-5=(8)/(4)(x-1) \\ y-5=2(x-1) \\ y-5=2x-2 \\ y-5=2x-2+5 \\ y=2x+3 \end{gathered}`

The equation in slope-intercept form is y=2x+3.