Q:

given the equation y = 2x - 5 and the domain {-1, 4} find the slopeI need help with this and if you do help can you show the work please

Accepted Solution

A:
Answer:The slope  is m=2Step-by-step explanation:we have[tex]y=2x-5[/tex]This is the equation of a line in slope intercept form[tex]y=mx+b[/tex]wherem is the slopeb is the y-coordinate of the y-interceptthereforeThe slope m is equal to[tex]m=2[/tex]Alternative Methodwe know thatThe formula to calculate the slope between two points is equal to [tex]m=\frac{y2-y1}{x2-x1}[/tex] we have[tex]y=2x-5[/tex]  and the domain {-1, 4}For x=-1[tex]y=2(-1)-5=-7[/tex] point (-1,-7)For x=4[tex]y=2(4)-5=3[/tex] point (4,3)substitute the values in the formula of the slope[tex]m=\frac{3+7}{4+1}[/tex] [tex]m=\frac{10}{5}[/tex] [tex]m=2[/tex]