Question

Question 1 1. Given the equation 3x + 4y = 5, answer the following two parts for 5 points each. a. Is the slope of the line positive or negative? b. Using any point (x, y), as x increases in value, describe the value change in y.

Answer 1

Griven equation ces 3x+4y=5. (ره Now we convert the equation 3xt wy=5 into Slope - inter form ie y=mate cept 3at hyz5 4y=-3x+5 y = (-3lylatoly comparing with y=mate form. m= (-314) and cagly Here . The The slope is negative and the slope is m=-3ly. b) we know that (-3/4) 15/4. for a=0 o,y is y= (-34) (0)+5ly y = 5ly Point (x,y) = (0.54.)

for xal y es y= (-314) (1) 1514 y=-3lutsly y=2/4 y=%. :: point (diy) = (1/2) for x=2 yos y = (-34) (2)+514 y = -6 toly y = (-44) : Point (acy)=(2,-1/4). СС 1 For a=0 to d=1, there is decrease of value fory as decreases from 5ly to Y- The value change in.y is 5/4-₂ Value change inyo iny = 3/4 For x=1 to n=2, there is decrease there is decrease of value y decreases from / to ly. for y, as The value Change in y is = Ź - 6) Valaue change iny= 1/2 + + 4 slu : Hence the value change iny is constantie of 0.75