Question

And has a slope of -5/4

A line passes through the point 8,3
Write an equation in slope-intercept form for this line.

Answer 1

y = (-5/4)x + 13

Explanation:

Formula we use,

→ y = mx + b

Now the value of b will be,

→ 3 = (-5/4)8 + b

→ 3 = -40/4 + b

→ 3 = -10 + b

→ 3 + 10 = b

→ [ b = 13 ]

Then the equation will be,

→ y = mx + b

→ 3 = (-5/4)8 + 13

→ y = (-5/4)x + 13

Thus, answer is y = (-5/4)x + 13.

Answer 2

• y = (- 5/4)x + 13

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Given

• Line with the slope of -5/4,
• Passing through the point (8, 3).

To find

• Equation of the line in slope-intercept form

Solution

Slope-intercept form:

• y = mx + b, where m- the slope, b- the y-intercept

Find the value of b:

• 3 = (- 5/4)*(8) + b
• 3 = - 10 + b
• b = 3 + 10
• b = 13

The line is:

• y = (- 5/4)x + 13