Question

2(x-1)=y+3 y=2x+1 FInd slope, x-intercept, and y-intercept for both equations

Answer 1

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have 2(x - 1) = y + 3     use distributive property

(2)(x) + (2)(-1) = y + 3

2x - 2 = y + 3      subtract 3 from both sides

2x - 5 = y → y = 2x - 5

slope: m = 2

y-intercept: b = -5

x-intercept for y = 0. Substitute:

2x - 2 =0       add 2 to both sides

2x = 2        divide both sides by 2

x = 1

Answer:

slope = 2

y-intercept = -5

x-intercept = 1

-------------------------------------------------------------

y = 2x + 1

slope: m = 2

y-intercept: b = 1

x-intercept for y = 0. Substitute:

2x + 1 = 0       subtract 1 from both sides

2x = -1       divide both sides by 2

x = -0.5

Answer:

slope = 2

y-intercept = 1

x-intercept = -0.5