The equation of the line that parallel to a line has equation
4x - 3y = -9 and has y-intercept of -1 is y = [tex]\frac{4}{3}[/tex] x - 1
Step-by-step explanation:
Parallel lines have
The slope-intercept form of equation of a line is y = mx + b, where m
is the slope of the line and b is the y-intercept
∵ The equation of a line is 4 x - 3 y = - 9
- To find the slope of the line put its equation in the form of y = mx + b
∵ 4 x - 3 y = -9
- Subtract 4 x from both sides
∴ -3 y = -4 x - 9
- Divide all the terms of the equation by -3
∴ [tex]y=\frac{4}{3}x+3[/tex]
∴ The slope of the line = [tex]\frac{4}{3}[/tex]
∵ Parallel lines have same slopes
∵ The slope of the given line is [tex]\frac{4}{3}[/tex]
∴ The slope of the new line = [tex]\frac{4}{3}[/tex]
∵ The form of the equation is y = m x + b
∴ y = [tex]\frac{4}{3}[/tex] x + b
∵ b is the y-intercept
∵ The y-intercept of the new line is -1
∴ b = -1
∴ y = [tex]\frac{4}{3}[/tex] x - 1
The equation of the line that parallel to a line has equation
4x - 3y = -9 and has y-intercept of -1 is y = [tex]\frac{4}{3}[/tex] x - 1
Learn more:
You can learn more about equations of parallel lines in brainly.com/question/8628615
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