Question

write an equation of the line passing through (-3,7) and having slope -7. Give the answer in slope intercept form

Answer 1

y = -7x - 14

Explanation:

Since it must be in a slope intercept form, you can input you rvalue sinto y+mx=b, where m represents the slope, and b represents the y-intercept.

Since we already have the slope, you can input -7 into the equation already and end up with y=-7x+b.

With the given coordinates, you can plug them into the equation of y=-7x+b and solve for b to obtain the y-intercept.

(7) = -7 (-3) + b

7 = 21 + b

- next, you use the zero rule to isolate b, subtract 21 from the right, and subtract it from the left as well to "move it over"

7 - 21 = b

-14 = b

Therefore the final equation is y = -7x - 14.

Answer 2

y = -7x-14

Explanation:

The slope intercept form of a line is given by

y = mx+b where m is the slope and b is the y intercept

y = -7x +b

Substitute the point in for x and y to find b

7 = -7(-3) +b

7 = 21 +b

Subtract 21 from each side

7-21 = 21-21+b

b = -14

y = -7x-14