Question

Graph the line passing through (-1, 4) whose slope is m = 4

Answer 1

y = 4x + 8

Explanation:

y = mx + b

4 = 4(-1) + b

4 = -4 + b

(isolate variable)

4 + 4 = b

b = 8

...

y = 4x + 8

Answer 2

y = 4x + 8

Graph Attatched

Explanation:

Hello!

Slope-Intercept Form:
`y = mx + b`

• y = output
• m = slope
• x = input
• b = y-intercept

m and b are replaced with numbers.

Given that the Slope is 4, and the point is (-1, 4), we can find the y-intercept using this equation:

• 4 = 4(-1) + b

Solve for b

• 4 = -1(4) + b
• 4 = -4 + b
• 8 = b

The y-intercept is 8, so our equation would be y = 4x + 8.

Graph:

• Plot the y-intercept
• Go up 4 units and to the right 1 (Slope is Rise/Run: 4/1)
• Plot that Point
• Draw a line between them

As you can see, point (-1,4) passes through the line with a slope of 4.