Write the slope-intercept equation (y = mx + b) for a line with the given characteristics. 1) m = -4, passing through (1, -2)

Question

Write the slope-intercept equation (y = mx + b) for a line with the given characteristics.

1) m = -4, passing through (1, -2)

Answer 1

Given that the slope (m) = -4 and the line passes through the point (1, -2), we can write the slope equation for this line two ways:

We can use the point-slope form and convert it into slope-intercept form or just use slope-intercept form. For this problem, lets just use the slope-intercept form and plug in our slope and our point. By doing this, it will allow us to find b which is the y-intercept. Once we find b, we can plug in our m and b to form our slope-intercept equation.

The slope-intercept form is:

y = mx + b

Now, lets plug in the slope and the point and solve for b:

-2 = -4(1) + b

-2 = -4 + b

b = 2

So, the slope-intercept equation is:

y = -4x + 2

Answer 2

-2 = (-4)(1) + b

Can you solve for b and answer?