3 years ago

Find a point on the line and the line's slope.

Mathematics

1 answer:

ankoles [38]3 years ago

8 0

Answer:

y-intercept: 3 slope: 1/2

Step-by-step explanation:

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Find the equation of the line that goes through the point ( 6, 5) and has a slope of 1/3

PSYCHO15rus [73]

Answer (<u>assuming it can be slope-intercept form)</u>:

$y = \frac{1}{3} x +3$

Step-by-step explanation:

Since we already know a point the line intersects and its slope, we can use the point-slope formula $y-y_1 = m (x-x_1)$ to write an equation, then convert it to slope-intercept form.

Substitute values for $m$ , $x_1$ , and $y_1$ . Since $m$ represents the slope, substitute $\frac{1}{3}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, use the x and y values of (6,5) and substitute them into the equation. Substitute 6 for $x_1$ and 5 for $y_1$ . Then, isolate y to put it into slope-intercept form and find an answer: