Question

Please help me with this question

Q:For each line,determine the x-intersept,the y-intersept,and the slope

a) 2x-5y+10=0 b)4x+y-12=0

please explain carefully , I'm dumb...

thank you

Answer 1

x-intercept means when the line intersect with the x-axis, at that point the value of y is 0.

y-intercept is the other way around, so the value of x = 0

so for you question:

1) x-intercept when y=0, so you just need to substitute y = 0 to the equations and solve for x.

2) y-intercept when x = 0, so substitute x = 0 to the equations and solve for y.

a) x-intercept: y = 0

2x - 5y +10 = 0
2x - 5*0 + 10 = 0
2x + 10 = 0
x = - 5

y - intercept: x = 0

2x - 5y + 10 = 0
2*0 - 5y + 10 = 0
-5y + 10 = 0
-5y = -10
y = 2

for b is similar to question a.

good luck