Question

Write the equation of the line from the given information (-2,4) & (-3,5)

Answer 1

Step 1: Find the slope

Slope Formula = (y2 - y1) / (x2 - x1)

Point 1 = (-2, 4)

Point 2 = (-3, 5)

slope = (5 - 4) / (-3 - - 2) = (5 - 4) / (-3 + 2) = (1) / (-1) = -1

Step 2: Find the y-intercept

To find the y-intercept, we will take one of the given points as well as the slope and plug them into slope-intercept form. Then, we will solve for b.

Slope-Intercept Form: y = mx + b

Point = (-2, 4)

Slope = -1

4 = -1(2) + b

4 = -2 + b

b = 6

Step 3: Put it all together

Now that we have the slope and the y-intercept, all that's left to do is plug it into slope-intercept form.

Slope-Intercept Form: y = mx + b

Slope = -1

Y-Intercept = 6

y = -x + 6

Hope this helps!! :)