Questions: 3) Halla la ecuación de la recta que tiene por pendiente 4 y cuya ordenada en el origen vale -7

3) Halla la ecuación de la recta que tiene por pendiente 4 y cuya ordenada en el origen vale -7
Transcript text: 3) Halla la ecuación de la recta que tiene por pendiente 4 y cuya ordenada en el origen vale -7
failed

Solution

failed
failed

To find the equation of a line given its slope (m) and y-intercept (b), we use the slope-intercept form of the equation of a line, which is \( y = mx + b \). Here, the slope (m) is 4 and the y-intercept (b) is -7.

Paso 1: Identificar los valores dados

Nos han proporcionado la pendiente \( m = 4 \) y la ordenada en el origen \( b = -7 \).

Paso 2: Usar la forma pendiente-intersección

La ecuación de la recta en la forma pendiente-intersección es: \[ y = mx + b \]

Paso 3: Sustituir los valores dados en la ecuación

Sustituimos \( m = 4 \) y \( b = -7 \) en la ecuación: \[ y = 4x + (-7) \]

Respuesta Final

La ecuación de la recta es: \[ \boxed{y = 4x - 7} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
What is the y-coordinate of point F? y-coordinate:
failedAnswered
A solution is buffered at a pH of 3.5, and a small amount of acid is added. What happens to the pH of the solution? The pH will decrease a small amount. The pH will increase a small amount. The pH will not change at all. IDONT KNOWYET
failedAnswered
Find the value of (x) and (YZ) if (Y) is between (X) and (Z). (XY=2x+1), (YZ doteq 6x), and (XZ=81) (X=square) (YZ=square)
failedAnswered
Noah draws triangle ABC. Then, he translates that triangle using the rule (x+2, y-1) to create triangle A'B'C'. The measure of angle A is 60 degrees. What is the measure of angle A' in degrees?
failedAnswered
Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero. f(x)=-9(x-3)(x+1)^2 Determine the behavior of the function at each zero. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. The graph crosses the x-axis at all zeros. B. The graph touches the x-axis and turns around at all zeros. C. The graph crosses the x-axis at x=3 and touches the x-axis and turns around at x=-1.