We will use the slope-intercept form, y = mx + b, that the problem asks for.
y = mx + b
m = slope
We are given slope = -4, so we have m = -4, and we can already put that slope in the equation for m.
y = -4x + b
Now we need to find b, the y-intercept.
We are given point (-2, 5), so we have an x value of -2 and a y value of -5.
We plug in -2 for x and 5 for y in y = -4x + b, and we solve fro b, the y-intercept.
y = -4x + b
5 = -4(-2) + b
5 = 8 + b
b = -3
Now that we have b = -3, we replace b with -3.
y = -4x + b
y = -4x - 3
Answer: y = -4x - 3
Answer:
B. 5x+4
Step-by-step explanation:
Solving this is quite easy.
- Add 5x and 4 getting 5x+4
- Look at your bottom variables..since 7x and -7x are opposites they will cancel out! And same thing goes for y and -y.
Answer:
x = 6
Step-by-step explanation:
because we know the lines intersect we also know the 2 angles are vertical meaning they are equal to each other
Knowing the angles are equal to each other you can make the equation
2x + 29 = 9x - 13
then you solve for x in this equation
2x + 29 = 9x - 13
(subtract 2x from both sides)
29 = 7x - 13
(add 13 to both sides)
42 = 7x
(divide by 7 on both sides)
6 = x
x = 6
Start without thinking of the options. You could do process of elimination, and that's fine, but to learn this kind of problem it's better to think it all the way through. The problem says you have 112 books, and an indefinite number shelves, s, that each hold sixteen books. You need to fit 112 books into shelves, each with sixteen books. That comes down to 112÷s=16, which is the same as 16s=112.
Answer:
y - 13 = 5(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Given y = 5x - 3 in slope- intercept form
with slope m = 5, then
m = 5 and (a, b) = (- 2, 13)
y - 13 = 5(x - (- 2)), that is
y - 13 = 5(x + 2) ← in point- slope form
