Find equation for blue line and find equation for red line below

Red Line:

Step 1) Pick two points on the line

Point 1: (1,5)

Point 2: (2,7)

Step 2) Using those two points, find the slope of the line

m = (7 - 5) / (2 - 1)

m = 2 / 1

m = 2

Step 3) Using the slope and one of the points on the line, plug those values in to the slope intercept form of the equation and solve for b, the y-intercept

y = 2x + b

5 = 2(1) + b

5 = 2 + b

b = 3

Step 4) Plug in the slope and y-intercept to the slope-intercept form equation to get the equation for the line

y = 2x + 3

Blue Line:

Step 1) Pick two points on the line

Point 1: (0,-3)

Point 2: (1,1)

Step 2) Using those two points, find the slope

m = (1 - -3) / (1 - 0)

m = (1 + 3) / 1

m = 4/1

m = 4

Step 3) Using the slope and one of the points on the line, plug those values in to the slope intercept form of the equation and solve for b, the y-intercept

y = 4x + b

1 = 4(1) + b

1 = 4 + b

b = -3

Step 4) Plug in the slope and y-intercept to the slope-intercept form equation to get the equation for the line

y = 4x - 3

Hope this helps! :)

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step-by-step explanation:

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