Question

Which equation in slope intercept form has a graph that passes through the point (2,1) and has a slope of 3?

A. Y=3x+1

B. Y=-3x-5

C. Y=3x+2

D. Y=3x-5

Answer 1

Answer:

D

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 3, m= 3.

Substitute m= 3 into the equation:

y= 3x +c

To find the value of c, substitute a pair of coordinates.

When x= 2, y= 1,

1= 3(2) +c

1= 6 +c

c= 1 -6

c= -5

Thus, the equation of the line is y= 3x -5.

Answer 2

Answer:

D

Step-by-step explanation:

From this graph we can see that the line has a slope of 3x (+3 on y-value, while +1 on x-value), and with the y-intercept of -5, the line passes through the point 2,1, therefore making it answer D. Desmos Graphing Calculator helps on questions Like this.