Question

1 point 11. Write the slope-intercept form of the equation of the line through the given points. Write answer as y=mx+b. through:(-5, -5) and (-2, 1) Your answer

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

point1 (-5 , -5) x1 = - 5 y1 = - 5

point2 (-2 , 1) x2 = -2 y2 = 1

equation of the line = ?

Step 02:

slope formula

$m\text{ = }\frac{y2-y1}{x2-x1}$$m\text{ = }\frac{1-(-5)}{-2-(-5)}=\frac{1+5}{-2+5}=\frac{6}{3}=2$

point-slope form of the line

(y - y1) = m (x - x1)

(y - (-5)) = 2 (x - (-5))

y + 5 = 2 (x + 5)

y + 5 = 2x + 10

y = 2x + 10 - 5

y = 2x + 5

The answer is:

The equation of the line is y = 2x + 5