Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Instructions: Write the equation of the line graphed below in Slope-Intercept form. State the slope and -intercept.

Instructions Write The Equation Of The Line Graphed Below In SlopeIntercept Form State The Slope And Intercept class=

Sagot :

In general, given two points, one can find the equation of a line using the formula below

[tex]\begin{gathered} (x_1,y_1),(x_2,y_2) \\ y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \end{gathered}[/tex]

Therefore,in our case, since the loine goes through (0,1) and (1,-3),

[tex]\begin{gathered} y-1=\frac{-3-1}{1-0}(x-0) \\ \Rightarrow y-1=-4x \\ \Rightarrow y=-4x+1 \\ \Rightarrow slope=-4,y-intercept=1 \end{gathered}[/tex]

Thus, the answer iare

Equation: y=-4x+1

Slope: -4

y-Intercept: 1