Question

Write an equation that has a slope of 2 and passes through the points (10,17)

Answer 1

Answer:

y = 2x-3

Step-by-step explanation:

y-17=2(x-10)

distribute 2 ---> y-17= 2x-20

add 17 to both sides ---> y=2x-3

Answer 2

The equation of the given line will be $y =2x - 3$

Given that:

• The line has got slope = 2

• The given line passes through point P(10, 17)

• To find: Equation of that given line.

Formation of equation:

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as: $y = mx+c$

Since given line has slope = 2, thus its equation will be: $y = 2x + c$

The other data about the straight line will help us find the value of c.

Since the line passes through (10,17) coordinate, thus this must satisfy the equation. Putting x = 10, and y = 17 will give us:

$y = 2x + c\\17 = 2 \times 10 + c\\17 = 20 + c\\c = 17 - 20 = -3$

Thus, the value o y-intercept = c = -3

Thus, the equation of considered straight line is  $y =2x - 3$

The graph of this equation is given below.

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