Question

7x−5=4y−6 x determine the intercepts of the line

Answer 1

To find the x-intercept, substitute in
0
0
for
y
y
and solve for
x
x
.
7
x
−
5
=
4
(
0
)
−
6

Answer 2

see explanation

Explanation:

to find the intercepts, that is where the line crosses the x and y axes

• let x = 0, in the equation for the y-intercept

• let y = 0, in the equation for x-intercept

x = 0

⇒ - 5 = 4y ( divide both sides by 4 )

y = -
`(5)/(4)` ← y- intercept

y = 0

7x - 5 = - 6x ( add 6x to both sides )

13x - 5 = 0 ( add 5 to both sides )

13x = 5 ( divide both sides by 13 )

x =
`(5)/(13)` ← x- intercept