Question

please help nee this today

there r several forms for the equation of a line. each form communicates different information. for instance, from the point-slope form,you can determine a point and the slope of a line.


write an equation in slope-intercept, point-slope, or standard form for the line with the given information. explain why u chose the form u used.
a. passes through (-1,4)and(-5,2)
b. slope 2, y-intercept -4
c.has an x-intercept of 6 and a y-intercept of 3
d. passes through (1,2) with slope -5/3

Answer 1

b. y = 2x -4......coz slope intercept coz slope nd intercept are given

Answer 2

c. x/6 + y/ 3 =1...intercept form
coz intercepts r given

Answer 3

d. use slope intercept and a use two point form

Answer 4

a. passes through points, u use the gradient formula and find an equation formula for this
\[M=\frac{2-4}{-5+2} \]
M = -2/ -3
M = 2/3
sub that gradient and a point given (-1,4) into the find an equation formula
y - 4 = 2/3 (x - -1)
y - 4 = 2/3 (x+1)
y - 4 = 2/3x + 2/3
y = 2/3x + 2/3 + 4
y = 2/3x + 14/3

Answer 5

aww thanks:)

Answer 6

for c. you can use two point form just like in a but there is also this equation of a line:
\[\large \frac{x}{a}+\frac{y}{b}=1 \]
where a and b are you x and y intercepts, respectively...

Answer 7

thanks