To answer this question, we need to remember that the slope-intercept form of the line is given by:
[tex]y=mx+b[/tex]Where
• m is the slope of line
,• b is the y-intercept of the line, that is, the point where the line passes through the y-axis. At this point, x = 0.
Since we can see that the given equation is in slope-intercept form:
[tex]y=3x-10[/tex]We can see that the slope of the line is:
[tex]m=3[/tex]And the y-intercept is:
[tex]\begin{gathered} b=-10 \\ (0,-10) \end{gathered}[/tex]In summary, we have that
• The slope of the line is m = 3.
,• The y-intercept of the line is (0, -10)