x- intercept = 5/2
y - intercept = 5
Step-by-step explanation:
the intercepts of a line are found by plugging in x=0 and y = 0
For x-intercept, we put y = 0
and
For- y-intercept we put =0
Given equation is:
[tex]-4x + 7 = 2y - 3\\Putting\ y = 0\\-4x + 7 = 2(0) - 3\\-4x+7 = -3\\-4x = -3-7\\-4x = -10[/tex]
Dividing both sides by -4
[tex]\frac{-4x}{-4} = \frac{-10}{-4}\\ = \frac{5}{2}[/tex]
Putting x = 0
[tex]-4x + 7 = 2y - 3\\-4(0)+7 = 2y -3\\7 = 2y-3\\7+3 = 2y\\2y = 10[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2} = \frac{10}{2}\\y = 5[/tex]
So,
x- intercept = 5/2
y - intercept = 5
Keywords: Intercepts, lines
Learn more about intercepts at:
- brainly.com/question/12954015
- brainly.com/question/12932203
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