Problemas
Find the slope and the y-intercept of the line. 6) y=-5x-4 A) slope: 5; y -intercept: (0,-4) C) slope: -4 y-intercept: (0,-5) 7) -3y=2x A) slope: 0; y -intercept: (0,-(3)/(2)) C) slope: -(2)/(3) y-intercept: (0,0) Find the requested value. 8) f(-3) for f(x) = f(x)= ) 5x+1,&ifxlt 3 3x,&if3leqslant xleqslant 5 3-5x,&ifxgt 5 A) -9 B) -14 B) slope: -4 y-intercept: (0,5) D) slope: -5 y-intercept: (0,-4) B) slope: -(3)/(2) y-intercept: (0,0) D) slope: 0; y -intercept: (0,-(2)/(3)) C) 16 D) 18
Solución
Flaviamaestro · Tutor durante 5 años
Verificación de expertos
4.1 (325 votos)
Responder
6) The equation of the line is in the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. For the equation $y = -5x - 4$, the slope is $-5$ and the y-intercept is $(0, -4)$. Therefore, the correct answer is D) slope: $-5$ y-intercept: $(0,-4)$.<br /><br />7) To find the slope and y-intercept of the line $-3y = 2x$, we need to rewrite it in the form $y = mx + b$. Dividing both sides by $-3$, we get $y = -\frac{2}{3}x$. The slope is $-\frac{2}{3}$ and the y-intercept is $(0, 0)$. Therefore, the correct answer is C) slope: $-\frac{2}{3}$ y-intercept: $(0,0)$.<br /><br />8) To find $f(-3)$ for the given piecewise function, we need to determine which interval $-3$ falls into. Since $-3 < 3$, we use the first part of the piecewise function: $f(x) = 5x + 1$. Plugging in $x = -3$, we get $f(-3) = 5(-3) + 1 = -15 + 1 = -14$. Therefore, the correct answer is B) $-14$.
Haz clic para calificar: