Question

1. write an equation of a line with the given slope and y-intercept.

m = 1, b = 4

y = 4x + 1

y = x + 4

y = x - 4

y = -1x + 4

Explanation:

Step1: Recall slope - intercept form

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

Step2: Substitute $m = 1$ and $b = 4$

Substitute $m = 1$ and $b = 4$ into the equation $y=mx + b$. We get $y=(1)x+4$, which simplifies to $y=x + 4$.

Answer:

B. $y = x + 4$ (assuming the second option is labeled as B, if the original options have labels like A, B, C, D, with the second option being B. If the labels are different, adjust accordingly. But from the given options, the correct equation is $y=x + 4$)