Question

What is the equation of the line that has a slope of 3 and goes through point (4, 7)?

Answer 1

equation form when the line passes through \((x_1,y_1)\) & has the slope m is \[(y-y_1)=m(x-x_1)\]

Answer 2

u can also use this method : slope intercept form\[y=mx+c\]where
m=slope
c=y-intercept

Answer 3

substitute (x,y)=(4,7) and m=3 into the eqn to find the value of c

Answer 4

so the equation could be 7=3*4+c

Answer 5

@jiteshmeghwal9 method is a bit faster..u can use the slope intercept form to double check ur answer..

Answer 6

yep,that's right.. @Theoneandonly

Answer 7

solve it to find the c..
7=12+c
7-12=12-12+c
c=-5

Answer 8

then form the eqn by substituting m=3 n c=-5 into y=mx+c

Answer 9

so the final answer is 7=3*4+(-5)

Answer 10

u do not need to put the value for x and y,when u want to form the eqn..

Answer 11

for example,\[y=3x-7\]

Answer 12

oh ok

Answer 13

okay..back to ur question..
now u hv the value of m=3 and c=-5..
substitute those values into y=mx+c
to form the eqn

Answer 14

\[y=(3)x+(-5)\]

Answer 15

Therefore,ur eqn is y=3x-5

Answer 16

ok thank you! So my final answer is y=3x-5

Answer 17

yeap,that's right! ^

Answer 18

yw! (: