Question

Write an equation of a line in slope-intercept form that has a slope of 3 and goes through the point (0, 2) * O y = 3x O y = 2x + 3 O y = 3x + 5 O y = 3x + 2

Answer 1

D. y = 3x + 2​

Step-by-step explanation:

Given a line whose slope and a point on the line is given, we use the point-slope form to find the equation of the line.

The point-slope form is given as:

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

We are told that:

• Slope, m = 3

,

• (x1,y1)=(0,2)

Substituting these into the equation given above, we have:

`\begin{gathered} y-2=3(x-0) \\ y-2=3x \\ \implies y=3x+2 \end{gathered}`

The equation of the line in slope-intercept form is: y=3x+2