Answer:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept. This is also known as the slope-intercept form.
How to identify slope and y-intercept:
① Ensure that only the y term is on the left hand side and the x terms and the constant is on the right hand side.
② Make sure that the coefficient of y is 1.
③ The coefficient of x is the slope and the constant is the y-intercept.
Answering from left to right:
Q1) Slope: -2
y-intercept: -1
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Slope: [tex] \frac{1}{4} [/tex]
y-intercept: 2
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slope: 1
y-intercept: 0
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slope: 7
y-intercept: 3
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Q2)
y= mx +c
1st from the left:
Given that the slope is [tex]\frac{2}{7} [/tex], m= [tex] \frac{2}{7} [/tex]
Since the y-intercept is -6, c= -6.
Subst m=[tex] \frac{2}{7} [/tex] and c= -6:
[tex]y = \frac{2}{7} x - 6[/tex]
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y= -3x +3
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[tex]y = \frac{5}{2} x + 1[/tex]
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4th question for Q2 from the right:
y= 10x + ?
( The y-intercept is not in the picture so substitute that given number into the '?' )
