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2 years ago

A line with a slopeof 8/7 passes through the point (7,8). what is its equation in slope-intercept form?

1 answer:

6 0

8x - 7y = 0 is the equation in slope-intercept form of the line with a slope of 8/7 passes through the point (7,8). This can be obtained using the formula of equation for the Slope Intercept Form.

<h3>What is its equation in slope-intercept form?</h3>

The formula of equation for the Slope Intercept Form is given below,

y = mx + b,

where m is the slope of the line, b is the y intercept where the line crosses the y-axis at (0, b).

Here in the question it is given that,

The slope of the line is 8/7

The line passes through the point (7,8)

We have to find the equation in slope-intercept form.

By using formula of equation for the Slope Intercept Form we get,

y = mx + b,

here,

⇒ from the point (7, 8), x = 7 and y = 8

⇒ slope, m = 8/7

To find y intercept we use the slope-intercept form equation,

y = mx + b

8 = (8/7)7 + b

8 = 8 + b

⇒ b = 0

Thus the equation in slope-intercept form will be,

y = mx + b

⇒ y = (8/7)x + 0

⇒ 7y = 8x

⇒ 8x - 7y = 0

Hence 8x - 7y = 0 is the equation in slope-intercept form of the line with a slope of 8/7 passes through the point (7,8).

Learn more about slope-intercept form here:

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