Question

Use the information given to find the equation of the line using the point-slope formula (y-y_1=m(x-x_1)). Then convert your answer to slope-intercept form (y=mx+b).x intercept is 1 and (-2,6)Converting it to slope intercept form gives us y=Answerx+Answer

Answer 1

Since the x-intercept is 1, then another point on the graph of the function is (1,0).

Use the slope formula to find the slope of the line that passes through the points (1,0) and (-2,6):

`\begin{gathered} m=(6-0)/(-2-1) \\ =(6)/(-3) \\ =-2 \end{gathered}`

Use the point-slope formula. Substitute y₁=6, x₁=-2 and m=-2. Then, isolate y to find the equation in sope-intercept form:

`\begin{gathered} y-y_1=m(x-x_1) \\ \Rightarrow y-6=-2(x-(-2)) \\ \Rightarrow y-6=-2(x+2) \\ \Rightarrow y-6=-2x-4 \\ \Rightarrow y=-2x-4+6 \\ \Rightarrow y=-2x+2 \end{gathered}`

Therefore, the answer is:

`y=-2x+2`