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:
brainly.com/question/9682526
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