Question

Write in lope intercept form an equation of the line that pae through the given point. (5,4) & (10,8)

Answer 1

The equation of the line in slope intercept form is y = 4/5 x.

Define the term slope intercept form?

• A line's equation of the sort y = mx + b can be given in slope intercept form.
• The m stands for the line's slope, and the b for the y-intercept. If you need to find a point on a line or compute for y given x, you utilize the slope intercept form.

For the stated question-

The given points are-

(x1, y1) = (5,4)

(x2, y2) = (10,8)

Slope m = (y2 -y1)/ (x2 - x1)

m = (8 - 4)/(10 - 5)

m = 4/5

Equation of the line;

y - y1 = m(x - x1)

y - 4 = 4/5 (x - 5)

y = 4/5 x - 4 + 4

y = 4/5 x

Thus, the equation of the line in slope intercept form is y = 4/5 x.

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