Question

Fill in the missing parts to re write the equation y+6=4(x-3) in slope in her pet form.

y+6=4x+

Answer 1

To convert the equation y+6=4(x-3) into slope-intercept form, distribute the 4, subtract 6 from both sides, and combine constants, resulting in y = 4x - 18.

Step-by-step explanation:

The equation y+6=4(x-3) needs to be rewritten in the slope-intercept form, which is y = mx + b, where 'm' represents the slope and 'b' represents the y-intercept. To rewrite the equation in the correct form, the first step is to distribute the multiplication over the parenthesis:

y + 6 = 4x - 12

Next, to isolate y, we need to subtract 6 from both sides of the equation:

y = 4x - 12 - 6

Finally, we combine the constant terms to get the slope-intercept form:

y = 4x - 18

This equation now shows that the slope (m) of the line is 4 and the y-intercept (b) is -18.