Sketch the graph of the line whose equation, in point-slope form, is y-3=9/5 (x+1). Also write the equation of this line in slope- intercept form .(y=mx+b )

Respuesta :

Given the equation of the line in point-slope form:

[tex]y-3=\frac{9}{5}(x+1)[/tex]

Based on this, one point of the line is (-1, 3). Now, the slope-intercept form of the equation is:

[tex]\begin{gathered} y-3=\frac{9x}{5}+\frac{9}{5} \\ y=\frac{9}{5}x+\frac{9}{5}+3 \\ \Rightarrow y=\frac{9}{5}x+\frac{24}{5} \end{gathered}[/tex]

Then, another point of the line is (0, 24/5) = (0, 4.8). Finally, the graph of the equation is:

Ver imagen LyriaD495277