Question

PLEASE HELP THIS IS DUE TMR
What is the equation in slope-intercept form of the line that passes through the points
(-26.-11) and (39,34)

Answer 1

Answer:

y = 9/13x + 7

Step-by-step explanation:

Find the slope and then plug in a point onto the equation of the slope and solve for y-intercept

Answer 2

The equation of the line is:

$y = \frac{9}{13}x + 7$

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The equation of a line, in slope-intercept formula, is given by:

$y = mx + b$

In which:

• m is the slope.
• b is the y-intercept.

• We are given two points, (-26,-11) and (39, 34).
• The slope is given by change in y divided by change in x, thus:

$m = \frac{34 - (-11)}{39 - (-26)} = \frac{45}{65} = \frac{9}{13}$

Then:

$y = \frac{9}{13}x + b$

Point (39, 34) means that when $x = 39, y = 34$, and this is used to find b.

$y = \frac{9}{13}x + b$

$34 = \frac{9}{13}(39) + b$

$27 + b = 34$

$b = 7$

Thus, the equation is:

$y = \frac{9}{13}x + 7$

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