Answer:
5
Step-by-step explanation:
The equation [tex]y=5x+10[/tex] is given in slope-intercept form. Slope-intercept form is a way of writing the equation of a line in the format [tex]y=mx+b[/tex], such that the coefficient of the parameter (x) is the slope, and constant (b) is the y-intercept. What that essentially means is,
[tex]y = mx + b\\\\m=slope\\b = y-intercept.[/tex]
The slope of a line is its rate of change, and the y-intercept is where the graph of the line intersects the y-axis. One can apply this knowledge here by saying that, the equation [tex]y=5x+10[/tex] is given in the slope-intercept form, and the coefficient ([tex]m[/tex]) equals ([tex]5[/tex]), therefore the slope is ([tex]5[/tex]).
