Questions: Find the x and y intercepts of the equation: y=7x+4

Find the x and y intercepts of the equation: y=7x+4
Transcript text: Find the $x$ and $y$ intercepts of the equation: $y=7 x+4$
failed

Solution

failed
failed

Solution Steps

Step 1: Find the \( x \)-intercept

To find the \( x \)-intercept, set \( y = 0 \) in the equation \( y = 7x + 4 \) and solve for \( x \): \[ 0 = 7x + 4 \] \[ 7x = -4 \] \[ x = -\frac{4}{7} \] The \( x \)-intercept is \( \left( -\frac{4}{7}, 0 \right) \).

Step 2: Find the \( y \)-intercept

To find the \( y \)-intercept, set \( x = 0 \) in the equation \( y = 7x + 4 \) and solve for \( y \): \[ y = 7(0) + 4 \] \[ y = 4 \] The \( y \)-intercept is \( (0, 4) \).

Step 3: Write the intercepts in the required format

The intercepts are: \[ x \text{ intercept } = \left( -\frac{4}{7}, 0 \right) \] \[ y \text{ intercept } = (0, 4) \]

Final Answer

The \( x \) intercept is \( \boxed{\left( -\frac{4}{7}, 0 \right)} \) and the \( y \) intercept is \( \boxed{(0, 4)} \).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Comprehensive Review for the NCLEX-PN® Exam, 8e ELSEVIER Exam-100 Mode 38 of 100 The nurse is caring for a client whose magnesium level is 3 mEq/L (1.5 mmol/L) and the client is being treated for the magnesium imbalance. The nurse interprets that the electrolyte imbalance is resolving if which signs or symptoms are no longer present? Select all that apply. Answer Options: 1. Tetany 2. Twitches 3. Chest pain 4. Hypotension 5. Muscular irritability Rationale, Strategy Submit
failedAnswered
The prescriber orders Calcitriol 1.5 mcg PO daily. The pharmacy sends the nurse the following medication. How many capsules will the nurse administer? Calcitriol Capsules 0.5 mcg 100 CAPSULES 1 capsule 3 capsules 7 capsules 8 capsules
failedAnswered
Exercice I: 1. Simplifier l'écriture des rationnels suivants, puis indiquer lesquels sont des décimaux: A=(2^3 * 3^2 * 5^3)/((-2)^2 *(-3) * 5^4) B=((-7)^-2 * 3 * 11^-3)/(7^-3 * 3^2 * 11^(4-2)) C=(2^3 * 10^-4-3^2 * 10^-3)/((-41) * 10^-3) 2. Simplifier chacune des écritures suivantes: D=4 a b^3 *(-2 a^5 b^-1) E=-2 *(-3 x^3)^3 F=(a^4 * a^-10 * a^2)/(a^5 * a^-8) 3. Ecrire l'expression suivante sous la forme d'une fraction irréductible : G=(0,04 * 2^-2 *(10^-3)^3 * 10^2)/(3 * 10^-8 * 10^-2) 4. Donner l'écriture scientifique de l'expression suivante : H=(2^2 * 10^-10 * 2^7 * 10^-6)/(-32 * 10^-10) 5. Ecrire I sous la forme a^n b^m c^p où m, n et p sont des entiers relatifs : I=((a b^2)^2(a b^-1)^3(a^2 b)^-2)/(a^2 c^-5(a^-1 b c^2)^3) Exercice II : 1. Développer, réduire et ordonner: A=4 x^2-(2 x+5)(x+4) C=-3(a^2+2)-(a-3)(2 a+7) E=(2 x-1)^2+(1/2 x+1)^2-x^2+1 B=(2 x^3+3)^2-(5+x)(5-x) D=(12 x+3)(2 x-7)-(x+1)^2 F=-2^2(x+1)^2+(-2)^2 *(-2)(x-2)(x+2)
failedAnswered
One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 50 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 50 minutes for the cable technician to arrive. The customer asks a simple random sample of 16 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 55.1 minutes with a standard deviation of 10.6 minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the 0.005 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ=50 Ha: μ ≠ 50
failedAnswered
diminishes teens' and young adults' ability to develop decision-making and problem-solving skills. a. Helicopter parenting b. Indulgent parenting c. Laissez-faire parenting d. Uninvolved parenting e. Permissive parenting