Question

A line passes through the point (8, 5) and has a slope of

Write an equation in slope-intercept form for this line.
mit
3
4

Answer 1

To find the equation in slope-intercept form, substitute the given values in the formula y = mx + b and solve for the y-intercept.

Step-by-step explanation:

To write an equation in slope-intercept form, we use the formula y = mx + b, where m represents the slope of the line and b represents the y-intercept. Given that the line passes through the point (8, 5) and has a slope of 3/4, we can substitute these values into the equation to find the y-intercept. Rearranging the equation, we have:

5 = (3/4)(8) + b

Simplifying, we get:

b = 5 - (3/4)(8) = 5 - 6 = -1

Therefore, the equation of the line in slope-intercept form is y = (3/4)x - 1.

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