nolan plots the y - intercept of a line at (0, 3) on the y - axis. he uses a slope of 2 to graph another…

nolan plots the y - intercept of a line at (0, 3) on the y - axis. he uses a slope of 2 to graph another point. he draws a line through the two points. which equation represents nolans line?\n○ ( y = 2x + 1 )\n○ ( y = 2x + 3 )\n○ ( y = 3x + 2 )\n○ ( y = 3x + 5 )

nolan plots the y - intercept of a line at (0, 3) on the y - axis. he uses a slope of 2 to graph another point. he draws a line through the two points. which equation represents nolans line?\n○ ( y = 2x + 1 )\n○ ( y = 2x + 3 )\n○ ( y = 3x + 2 )\n○ ( y = 3x + 5 )

Answer

Explanation:

Step1: Recall the slope - intercept form

The equation of a line in slope - intercept form is (y = mx + b), where (m) is the slope and (b) is the (y) - intercept.

Step2: Identify the values of (m) and (b)

Given that the slope (m = 2) and the (y) - intercept (b=3) (since the line crosses the (y) - axis at the point ((0,3))).

Step3: Substitute (m) and (b) into the formula

Substituting (m = 2) and (b = 3) into (y=mx + b), we get (y = 2x+3).

Answer:

(y = 2x + 3) (the second option)