slope: 4/3
y-intercept: -2
To find the x-intercept, substitute in 0 for y and solve for x .
4 x −1 = 3 ( 0 ) + 5
Solve the equation.
x = 3 /2
To find the y-intercept, substitute in 0 for x and solve for y .
4 (0 ) − 1 = 3 y + 5
Solve the equation.
Rewrite the equation as 3 y + 5 = 4( 0 ) − 1 .
3 y + 5 = 4 ( 0 ) − 1
Simplify the right side.
Multiply 4 by 0 .
3 y + 5 = 0 − 1
Subtract 1 from 0 .
3 y + 5 = − 1.
Move all terms not containing y to the right side of the equation.
Subtract 5 from both sides of the equation.
3 y = − 5 − 1
Subtract 1 from − 5 .
3 y = − 6
Divide each term by 3 and simplify.
Divide each term in 3 y = − 6 by 3 .
3 y /3 = − 6 /3
Reduce the expression by cancelling the common factors.
y = − 6 /3
Simplify the right side of the equation.
y = − 2
These are the x and y intercepts of the equation 4 x − 1 = 3 y + 5 .
x-intercept: ( 3/ 2 , 0 )
y-intercept: ( 0 , − 2 )
The intercept of the line [tex]4x -1 = 3y + 5[/tex] is 2.
Given the following data:
In this exercise, you're required to find the intercept of the given line:
The standard form of an equation of line is given by the formula;
[tex]y = mx + b[/tex] ....equation 1.
Where:
[tex]4x -1 = 3y + 5\\\\3y = 5 - 4x + 1\\\\3y = -4x + 6[/tex]
Dividing all through by 3, we have:
[tex]y = \frac{-4x}{3} + \frac{6}{3} \\\\y = \frac{-4x}{3} + 2[/tex] .....equation 2
Comparing eqn 1 and eqn 2, we can deduce that the intercept is 2.
Therefore, the intercept of the line [tex]4x -1 = 3y + 5[/tex] is 2.
Read more: https://brainly.com/question/18123312
