Question

rewrite the following linear equation in slope-intercept form. write your answer with no spaces y+2=4(x-3)

Answer 1

The linear equation y+2=4(x-3) is rewritten in slope-intercept form as y = 4x - 14, where the slope (m) is 4, and the y-intercept (b) is -14.

Step-by-step explanation:

To rewrite the equation y+2=4(x-3) in slope-intercept form, which is

y = mx + b,

where m is the slope and b is the y-intercept, follow these steps:

1. Distribute the 4 into the parentheses: y + 2 = 4x - 12.
2. Subtract 2 from both sides of the equation to solve for y: y = 4x - 12 - 2.
3. Combine like terms: y = 4x - 14.

The equation is now in slope-intercept form, with the slope (m) being 4 and the y-intercept (b) being -14.

Thus, we can see that there will be a rise of 4 on the vertical axis for every increase of 1 on the horizontal axis, just as slope is the same all along a straight line.