Write the equation of the line that passes through (−3, 5) and (2, 10) in slope-intercept form.
y = x + 8
y = x − 8
y = −5x − 10
y = −5x + 20

Question

Write the equation of the line that passes through (−3, 5) and (2, 10) in slope-intercept form.
 y = x + 8
 y = x − 8
 y = −5x − 10
 y = −5x + 20

michele_laino · Answer

by definition, the slope $m$ of the line is:
$$m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}} = \frac{{10 - 5}}{{2 - \left( { - 3} \right)}} = ...?$$

brooke1556 · Answer

$$\ \frac{ 5 }{ 5 }$$

welshfella · Answer

yes  which simplifies to  ?

brooke1556 · Answer

1?

michele_laino · Answer

correct!
next the equation of the line is:
$$y - 5 = m\left( {x - \left( { - 3} \right)} \right)$$
wherein $m=1$
please substitute and simplify

welshfella · Answer

righ

so the slope (m) = 1

brooke1556 · Answer

I got 8?
@Michele_Laino

michele_laino · Answer

please write the equation you got

brooke1556 · Answer

$$y-5=1(x-(-3)) $$
$$y-5=1x-3$$
$$\frac{ 8 }{ 1x } =\frac{ 1x }{ 1x}$$
8

michele_laino · Answer

we have this:
$y-5=x+3$
next I add $5$ to both sides, so we get:
$y-5+5=x+3+5$
please simplify

michele_laino · Answer

please keep in mind that $x-(-3)=x+3$

michele_laino · Answer

hint:
what is $-5+5=...?$
and $3+5=...?$

brooke1556 · Answer

0 and 8

michele_laino · Answer

correct!
so the requested equation, is:
$y=x+8$