Option B is correct.
<u>ANSWER: </u>
The equation in slope-intercept form, of the line that passes through (0, 6) and has a slope of 4 is y = 4x + 6
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SOLUTION:
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Given, Point P (0, 6) and slope = 4
We need to find the equation in Slope-intercept form.
The slope intercept form is given as y = mx + c -------- eqn (1)
Where, m is the slope of line
C is intercept made on x-axis by the line.
We have a point and the slope, so first we can find equation using point-slope form and then convert into slope-intercept form.
Now, point-slope form is given as --- eqn 2
Put in eqn (2) along with m = 4
y – 6 = 4x
We got the equation in point slope form, now let’s convert it into slope intercept form.
y – 6 = 4x
y = 4x + 6
Here, slope (m) = 4 and intercept (c) = 6
Hence we can conclude that, equation, in slope-intercept form, of the line that passes through (0, 6) and has a slope of 4 is y = 4x + 6